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41342421120 = 2735731113439
BaseRepresentation
bin100110100000001100…
…110100100010000000
310221201020001121002020
4212200030310202000
51134132124433440
630554211321440
72662334532000
oct464014644200
9127636047066
1041342421120
111659579a990
1280195b0280
133b8b2210a0
1420029b2000
15111e7a63d0
hex9a0334880

41342421120 has 1024 divisors, whose sum is σ = 180956160000. Its totient is φ = 7911751680.

The previous prime is 41342421101. The next prime is 41342421139. The reversal of 41342421120 is 2112424314.

It is an interprime number because it is at equal distance from previous prime (41342421101) and next prime (41342421139).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94173861 + ... + 94174299.

It is an arithmetic number, because the mean of its divisors is an integer number (176715000).

Almost surely, 241342421120 is an apocalyptic number.

41342421120 is a gapful number since it is divisible by the number (40) 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 41342421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080000).

41342421120 is an abundant number, since it is smaller than the sum of its proper divisors (139613738880).

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

41342421120 is a wasteful number, since it uses less digits than its factorization.

41342421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41342421120 its reverse (2112424314), we get a palindrome (43454845434).

The spelling of 41342421120 in words is "forty-one billion, three hundred forty-two million, four hundred twenty-one thousand, one hundred twenty".