400151352240 has 120 divisors (see below), whose sum is σ = 1402269579360. Its totient is φ = 102067587072.

The previous prime is 400151352233. The next prime is 400151352257. The reversal of 400151352240 is 42253151004.

400151352240 is a `hidden beast` number, since 400 + 1 + 5 + 1 + 35 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×400151352240² (a number of 24 digits) contains 22 as substring.

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, 12065305 + ... + 12098424.

It is an arithmetic number, because the mean of its divisors is an integer number (11685579828).

Almost surely, 2^400151352240 is an apocalyptic number.

400151352240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400151352240 is an abundant number, since it is smaller than the sum of its proper divisors (1002118227120).

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

400151352240 is a wasteful number, since it uses less digits than its factorization.

400151352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163771 (or 24163762 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 400151352240 in words is "four hundred billion, one hundred fifty-one million, three hundred fifty-two thousand, two hundred forty".