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1441025879040 = 210325117393847
BaseRepresentation
bin10100111110000011110…
…101011110110000000000
312002202112120102101110100
4110332003311132300000
5142102210111112130
63021555333402400
7206052651604566
oct24760365366000
95082476371410
101441025879040
115061545a5450
121b3344799400
13a5b71387947
144da6313da36
152773ec3ac60
hex14f83d5ec00

1441025879040 has 528 divisors, whose sum is σ = 5455825539840. Its totient is φ = 348776202240.

The previous prime is 1441025879039. The next prime is 1441025879053. The reversal of 1441025879040 is 409785201441.

1441025879040 is a `hidden beast` number, since 1 + 441 + 0 + 2 + 5 + 87 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×14410258790402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374582397 + ... + 374586243.

Almost surely, 21441025879040 is an apocalyptic number.

1441025879040 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 1441025879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727912769920).

1441025879040 is an abundant number, since it is smaller than the sum of its proper divisors (4014799660800).

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

1441025879040 is a wasteful number, since it uses less digits than its factorization.

1441025879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1441025879040 in words is "one trillion, four hundred forty-one billion, twenty-five million, eight hundred seventy-nine thousand, forty".