400053190080 has 672 divisors, whose sum is σ = 1395845498880. Its totient is φ = 96831651840.

The previous prime is 400053190067. The next prime is 400053190091. The reversal of 400053190080 is 80091350004.

It is a super-2 number, since 2×400053190080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1673862601 + ... + 1673862839.

It is an arithmetic number, because the mean of its divisors is an integer number (2077151040).

Almost surely, 2^400053190080 is an apocalyptic number.

400053190080 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 400053190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697922749440).

400053190080 is an abundant number, since it is smaller than the sum of its proper divisors (995792308800).

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

400053190080 is a wasteful number, since it uses less digits than its factorization.

400053190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 400053190080 in words is "four hundred billion, fifty-three million, one hundred ninety thousand, eighty".