401345874288 has 60 divisors (see below), whose sum is σ = 1123260079968. Its totient is φ = 133776115200.

The previous prime is 401345874239. The next prime is 401345874299. The reversal of 401345874288 is 882478543104.

401345874288 is a `hidden beast` number, since 4 + 0 + 1 + 34 + 587 + 4 + 28 + 8 = 666.

It is a super-2 number, since 2×401345874288² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4357513 + ... + 4448663.

Almost surely, 2^401345874288 is an apocalyptic number.

401345874288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401345874288 is an abundant number, since it is smaller than the sum of its proper divisors (721914205680).

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

401345874288 is a wasteful number, since it uses less digits than its factorization.

401345874288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121742 (or 121733 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 401345874288 in words is "four hundred one billion, three hundred forty-five million, eight hundred seventy-four thousand, two hundred eighty-eight".