400240566468 has 96 divisors (see below), whose sum is σ = 1097994240000. Its totient is φ = 125729897760.

The previous prime is 400240566437. The next prime is 400240566491. The reversal of 400240566468 is 864665042004.

400240566468 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 40 + 566 + 46 + 8 = 666.

It is a super-2 number, since 2×400240566468² (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 31 ways as a sum of consecutive naturals, for example, 118668 + ... + 902531.

It is an arithmetic number, because the mean of its divisors is an integer number (11437440000).

Almost surely, 2^400240566468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400240566468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548997120000).

400240566468 is an abundant number, since it is smaller than the sum of its proper divisors (697753673532).

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

400240566468 is a wasteful number, since it uses less digits than its factorization.

400240566468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021422 (or 1021414 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 400240566468 in words is "four hundred billion, two hundred forty million, five hundred sixty-six thousand, four hundred sixty-eight".