401209393749120 has 192 divisors, whose sum is σ = 1511374023282240. Its totient is φ = 97262883317760.

The previous prime is 401209393749107. The next prime is 401209393749161. The reversal of 401209393749120 is 21947393902104.

401209393749120 is a `hidden beast` number, since 4 + 0 + 1 + 209 + 393 + 7 + 49 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166046124 + ... + 3166172843.

It is an arithmetic number, because the mean of its divisors is an integer number (7871739704595).

Almost surely, 2^{401209393749120} is an apocalyptic number.

401209393749120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401209393749120 is an abundant number, since it is smaller than the sum of its proper divisors (1110164629533120).

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

401209393749120 is a wasteful number, since it uses less digits than its factorization.

401209393749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332219003 (or 6332218988 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 401209393749120 in words is "four hundred one trillion, two hundred nine billion, three hundred ninety-three million, seven hundred forty-nine thousand, one hundred twenty".