400928329882080 has 6912 divisors, whose sum is σ = 2071869758300160. Its totient is φ = 71810526412800.

The previous prime is 400928329882027. The next prime is 400928329882117. The reversal of 400928329882080 is 80288923829004.

400928329882080 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 28 + 329 + 88 + 208 + 0 = 666.

It is a super-3 number, since 3×400928329882080³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 400928329881999 and 400928329882017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 244916511022 + ... + 244916512658.

It is an arithmetic number, because the mean of its divisors is an integer number (299749675680).

Almost surely, 2^{400928329882080} is an apocalyptic number.

400928329882080 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 400928329882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035934879150080).

400928329882080 is an abundant number, since it is smaller than the sum of its proper divisors (1670941428418080).

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

400928329882080 is a wasteful number, since it uses less digits than its factorization.

400928329882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 400928329882080 in words is "four hundred trillion, nine hundred twenty-eight billion, three hundred twenty-nine million, eight hundred eighty-two thousand, eighty".