401073072400 has 480 divisors, whose sum is σ = 1315044331776. Its totient is φ = 113495040000.

The previous prime is 401073072391. The next prime is 401073072401. The reversal of 401073072400 is 4270370104.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (401073072401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24416190 + ... + 24432610.

Almost surely, 2^401073072400 is an apocalyptic number.

401073072400 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 401073072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657522165888).

401073072400 is an abundant number, since it is smaller than the sum of its proper divisors (913971259376).

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

401073072400 is a wasteful number, since it uses less digits than its factorization.

401073072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16531 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 401073072400 in words is "four hundred one billion, seventy-three million, seventy-two thousand, four hundred".