404921071200 has 72 divisors (see below), whose sum is σ = 1318018094568. Its totient is φ = 107978951680.

The previous prime is 404921071199. The next prime is 404921071207. The reversal of 404921071200 is 2170129404.

It is a super-2 number, since 2×404921071200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404921071207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84356157 + ... + 84360956.

It is an arithmetic number, because the mean of its divisors is an integer number (18305806869).

Almost surely, 2^404921071200 is an apocalyptic number.

404921071200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404921071200 is an abundant number, since it is smaller than the sum of its proper divisors (913097023368).

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

404921071200 is a wasteful number, since it uses less digits than its factorization.

404921071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168717136 (or 168717123 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 404921071200 in words is "four hundred four billion, nine hundred twenty-one million, seventy-one thousand, two hundred".