10400353920 has 192 divisors, whose sum is σ = 39178844640. Its totient is φ = 2521282560.

The previous prime is 10400353907. The next prime is 10400353949. The reversal of 10400353920 is 2935300401.

10400353920 is a `hidden beast` number, since 104 + 0 + 0 + 3 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10400353920² (a number of 21 digits) contains 22 as substring.

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, 18714 + ... + 145433.

Almost surely, 2^10400353920 is an apocalyptic number.

10400353920 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 10400353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589422320).

10400353920 is an abundant number, since it is smaller than the sum of its proper divisors (28778490720).

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

10400353920 is a wasteful number, since it uses less digits than its factorization.

10400353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164183 (or 164168 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 10400353920 in words is "ten billion, four hundred million, three hundred fifty-three thousand, nine hundred twenty".