10400769204 has 144 divisors (see below), whose sum is σ = 29223806976. Its totient is φ = 2867659200.

The previous prime is 10400769149. The next prime is 10400769217. The reversal of 10400769204 is 40296700401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9532699 + ... + 9533789.

It is an arithmetic number, because the mean of its divisors is an integer number (202943104).

Almost surely, 2^10400769204 is an apocalyptic number.

10400769204 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 10400769204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611903488).

10400769204 is an abundant number, since it is smaller than the sum of its proper divisors (18823037772).

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

10400769204 is a wasteful number, since it uses less digits than its factorization.

10400769204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10400769204 in words is "ten billion, four hundred million, seven hundred sixty-nine thousand, two hundred four".