400004075520 has 2080 divisors, whose sum is σ = 1807786464000. Its totient is φ = 84276412416.

The previous prime is 400004075509. The next prime is 400004075543. The reversal of 400004075520 is 25570400004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10810920942 + ... + 10810920978.

Almost surely, 2^400004075520 is an apocalyptic number.

400004075520 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 400004075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903893232000).

400004075520 is an abundant number, since it is smaller than the sum of its proper divisors (1407782388480).

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

400004075520 is an equidigital number, since it uses as much as digits as its factorization.

400004075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

Adding to 400004075520 its reverse (25570400004), we get a palindrome (425574475524).

The spelling of 400004075520 in words is "four hundred billion, four million, seventy-five thousand, five hundred twenty".