10865413440 has 896 divisors, whose sum is σ = 46770462720. Its totient is φ = 2321104896.

The previous prime is 10865413393. The next prime is 10865413457. The reversal of 10865413440 is 4431456801.

10865413440 is a `hidden beast` number, since 1 + 0 + 86 + 541 + 34 + 4 + 0 = 666.

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 = 10865413395 and 10865413404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101545867 + ... + 101545973.

Almost surely, 2^10865413440 is an apocalyptic number.

10865413440 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 10865413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385231360).

10865413440 is an abundant number, since it is smaller than the sum of its proper divisors (35905049280).

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

10865413440 is a wasteful number, since it uses less digits than its factorization.

10865413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10865413440 in words is "ten billion, eight hundred sixty-five million, four hundred thirteen thousand, four hundred forty".