400004812080 has 160 divisors (see below), whose sum is σ = 1381490953920. Its totient is φ = 106381762560.

The previous prime is 400004812069. The next prime is 400004812111. The reversal of 400004812080 is 80218400004.

It is a super-2 number, since 2×400004812080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 557440 + ... + 1053920.

It is an arithmetic number, because the mean of its divisors is an integer number (8634318462).

Almost surely, 2^400004812080 is an apocalyptic number.

400004812080 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 400004812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690745476960).

400004812080 is an abundant number, since it is smaller than the sum of its proper divisors (981486141840).

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

400004812080 is a wasteful number, since it uses less digits than its factorization.

400004812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496876 (or 496864 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 400004812080 in words is "four hundred billion, four million, eight hundred twelve thousand, eighty".