10916924040 has 640 divisors, whose sum is σ = 42503408640. Its totient is φ = 2488320000.

The previous prime is 10916924023. The next prime is 10916924063. The reversal of 10916924040 is 4042961901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10916923986 and 10916924004.

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 159 ways as a sum of consecutive naturals, for example, 45298320 + ... + 45298560.

It is an arithmetic number, because the mean of its divisors is an integer number (66411576).

Almost surely, 2^10916924040 is an apocalyptic number.

10916924040 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 10916924040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251704320).

10916924040 is an abundant number, since it is smaller than the sum of its proper divisors (31586484600).

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

10916924040 is a wasteful number, since it uses less digits than its factorization.

10916924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10916924040 in words is "ten billion, nine hundred sixteen million, nine hundred twenty-four thousand, forty".