400533055440 has 320 divisors, whose sum is σ = 1450059190272. Its totient is φ = 89568460800.

The previous prime is 400533055421. The next prime is 400533055453. The reversal of 400533055440 is 44550335004.

It is a super-2 number, since 2×400533055440² (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 63 ways as a sum of consecutive naturals, for example, 15612864 + ... + 15638496.

Almost surely, 2^400533055440 is an apocalyptic number.

400533055440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400533055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725029595136).

400533055440 is an abundant number, since it is smaller than the sum of its proper divisors (1049526134832).

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

400533055440 is a wasteful number, since it uses less digits than its factorization.

400533055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25858 (or 25852 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 400533055440 in words is "four hundred billion, five hundred thirty-three million, fifty-five thousand, four hundred forty".