10400577220 has 96 divisors (see below), whose sum is σ = 25292373120. Its totient is φ = 3550525440.

The previous prime is 10400577199. The next prime is 10400577233. The reversal of 10400577220 is 2277500401.

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, 1563742 + ... + 1570378.

It is an arithmetic number, because the mean of its divisors is an integer number (263462220).

Almost surely, 2^10400577220 is an apocalyptic number.

10400577220 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 10400577220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646186560).

10400577220 is an abundant number, since it is smaller than the sum of its proper divisors (14891795900).

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

10400577220 is a wasteful number, since it uses less digits than its factorization.

10400577220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The spelling of 10400577220 in words is "ten billion, four hundred million, five hundred seventy-seven thousand, two hundred twenty".