404214454041320 has 128 divisors (see below), whose sum is σ = 1037856603722400. Its totient is φ = 140360788279296.

The previous prime is 404214454041263. The next prime is 404214454041341. The reversal of 404214454041320 is 23140454412404.

It can be written as a sum of positive squares in 16 ways, for example, as 60193049862724 + 344021404178596 = 7758418^2 + 18547814^2 .

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, 6161975 + ... + 29092934.

Almost surely, 2^{404214454041320} is an apocalyptic number.

404214454041320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404214454041320 is an abundant number, since it is smaller than the sum of its proper divisors (633642149681080).

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

404214454041320 is a wasteful number, since it uses less digits than its factorization.

404214454041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35256247 (or 35256243 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 404214454041320 in words is "four hundred four trillion, two hundred fourteen billion, four hundred fifty-four million, forty-one thousand, three hundred twenty".