10406399640 has 128 divisors (see below), whose sum is σ = 38423669760. Its totient is φ = 2195633664.

The previous prime is 10406399629. The next prime is 10406399677. The reversal of 10406399640 is 4699360401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10406399592 and 10406399601.

It is a congruent number.

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, 465564 + ... + 487403.

It is an arithmetic number, because the mean of its divisors is an integer number (300184920).

Almost surely, 2^10406399640 is an apocalyptic number.

10406399640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406399640 is an abundant number, since it is smaller than the sum of its proper divisors (28017270120).

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

10406399640 is a wasteful number, since it uses less digits than its factorization.

10406399640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953001 (or 952997 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 10406399640 in words is "ten billion, four hundred six million, three hundred ninety-nine thousand, six hundred forty".