10400635224 has 192 divisors, whose sum is σ = 35349350400. Its totient is φ = 2796747264.

The previous prime is 10400635183. The next prime is 10400635243. The reversal of 10400635224 is 42253600401.

10400635224 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 635 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208857 + ... + 253815.

It is an arithmetic number, because the mean of its divisors is an integer number (184111200).

Almost surely, 2^10400635224 is an apocalyptic number.

10400635224 is a gapful number since it is divisible by the number (14) 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 10400635224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674675200).

10400635224 is an abundant number, since it is smaller than the sum of its proper divisors (24948715176).

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

10400635224 is a wasteful number, since it uses less digits than its factorization.

10400635224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45004 (or 44988 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10400635224 in words is "ten billion, four hundred million, six hundred thirty-five thousand, two hundred twenty-four".