10402734873600 has 990 divisors, whose sum is σ = 40921637427440. Its totient is φ = 2610732072960.

The previous prime is 10402734873569. The next prime is 10402734873623. The reversal of 10402734873600 is 637843720401.

10402734873600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 2 + 7 + 34 + 8 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 599261721 + ... + 599279079.

Almost surely, 2^{10402734873600} is an apocalyptic number.

10402734873600 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 10402734873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460818713720).

10402734873600 is an abundant number, since it is smaller than the sum of its proper divisors (30518902553840).

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

10402734873600 is a wasteful number, since it uses less digits than its factorization.

10402734873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17435 (or 17386 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10402734873600 in words is "ten trillion, four hundred two billion, seven hundred thirty-four million, eight hundred seventy-three thousand, six hundred".