404107100712 has 336 divisors, whose sum is σ = 1378985286240. Its totient is φ = 110437411392.

The previous prime is 404107100701. The next prime is 404107100723. The reversal of 404107100712 is 217001701404.

It is an interprime number because it is at equal distance from previous prime (404107100701) and next prime (404107100723).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6541923 + ... + 6603405.

Almost surely, 2^404107100712 is an apocalyptic number.

404107100712 is a gapful number since it is divisible by the number (42) 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 404107100712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689492643120).

404107100712 is an abundant number, since it is smaller than the sum of its proper divisors (974878185528).

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

404107100712 is a wasteful number, since it uses less digits than its factorization.

404107100712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61544 (or 61518 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 404107100712 in words is "four hundred four billion, one hundred seven million, one hundred thousand, seven hundred twelve".