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1041403440 = 2435711247109
BaseRepresentation
bin111110000100101…
…000111000110000
32200120120202221210
4332010220320300
54113044402230
6251200520120
734543532430
oct7604507060
92616522853
101041403440
11494932900
12250920040
131379a576c
149c4482c0
156165deb0
hex3e128e30

1041403440 has 480 divisors, whose sum is σ = 4179732480. Its totient is φ = 209848320.

The previous prime is 1041403423. The next prime is 1041403457. The reversal of 1041403440 is 443041401.

It is an interprime number because it is at equal distance from previous prime (1041403423) and next prime (1041403457).

It is a super-2 number, since 2×10414034402 = 2169042249687667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9554106 + ... + 9554214.

It is an arithmetic number, because the mean of its divisors is an integer number (8707776).

Almost surely, 21041403440 is an apocalyptic number.

1041403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089866240).

1041403440 is an abundant number, since it is smaller than the sum of its proper divisors (3138329040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041403440 is a wasteful number, since it uses less digits than its factorization.

1041403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1041403440 is about 32270.7830707592. The cubic root of 1041403440 is about 1013.6149388552.

Adding to 1041403440 its reverse (443041401), we get a palindrome (1484444841).

The spelling of 1041403440 in words is "one billion, forty-one million, four hundred three thousand, four hundred forty".