10908441815040 has 1536 divisors, whose sum is σ = 49906741248000. Its totient is φ = 2193437491200.

The previous prime is 10908441814981. The next prime is 10908441815081. The reversal of 10908441815040 is 4051814480901.

10908441815040 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 84 + 418 + 150 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×10908441815040² (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 659949496 + ... + 659966024.

It is an arithmetic number, because the mean of its divisors is an integer number (32491368000).

Almost surely, 2^{10908441815040} is an apocalyptic number.

10908441815040 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 10908441815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953370624000).

10908441815040 is an abundant number, since it is smaller than the sum of its proper divisors (38998299432960).

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

10908441815040 is a wasteful number, since it uses less digits than its factorization.

10908441815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614 (or 16588 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10908441815040 in words is "ten trillion, nine hundred eight billion, four hundred forty-one million, eight hundred fifteen thousand, forty".