10860733440 has 264 divisors, whose sum is σ = 38851208448. Its totient is φ = 2802401280.

The previous prime is 10860733427. The next prime is 10860733459. The reversal of 10860733440 is 4433706801.

10860733440 is a `hidden beast` number, since 1 + 0 + 8 + 607 + 3 + 3 + 4 + 40 = 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 = 10860733395 and 10860733404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424679 + ... + 1432281.

Almost surely, 2^10860733440 is an apocalyptic number.

10860733440 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 10860733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425604224).

10860733440 is an abundant number, since it is smaller than the sum of its proper divisors (27990475008).

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

10860733440 is a wasteful number, since it uses less digits than its factorization.

10860733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10860733440 in words is "ten billion, eight hundred sixty million, seven hundred thirty-three thousand, four hundred forty".