10407161856 has 416 divisors, whose sum is σ = 35139783168. Its totient is φ = 2666004480.

The previous prime is 10407161839. The next prime is 10407161861. The reversal of 10407161856 is 65816170401.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45846415 + ... + 45846641.

Almost surely, 2^10407161856 is an apocalyptic number.

10407161856 is a gapful number since it is divisible by the number (16) 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 10407161856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569891584).

10407161856 is an abundant number, since it is smaller than the sum of its proper divisors (24732621312).

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

10407161856 is a wasteful number, since it uses less digits than its factorization.

10407161856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10407161856 in words is "ten billion, four hundred seven million, one hundred sixty-one thousand, eight hundred fifty-six".