10321505040 has 480 divisors, whose sum is σ = 41198184576. Its totient is φ = 2113413120.

The previous prime is 10321505021. The next prime is 10321505053. The reversal of 10321505040 is 4050512301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10321504998 and 10321505016.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9442734 + ... + 9443826.

Almost surely, 2^10321505040 is an apocalyptic number.

10321505040 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 10321505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599092288).

10321505040 is an abundant number, since it is smaller than the sum of its proper divisors (30876679536).

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

10321505040 is a wasteful number, since it uses less digits than its factorization.

10321505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 10321505040 in words is "ten billion, three hundred twenty-one million, five hundred five thousand, forty".