400450042603125 has 192 divisors, whose sum is σ = 746292609216000. Its totient is φ = 212203696320000.

The previous prime is 400450042603109. The next prime is 400450042603147. The reversal of 400450042603125 is 521306240054004.

400450042603125 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 5 + 0 + 0 + 42 + 603 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 400450042603125 - 2⁴ = 400450042603109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400450042603125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12307511857 + ... + 12307544393.

It is an arithmetic number, because the mean of its divisors is an integer number (3886940673000).

Almost surely, 2^{400450042603125} is an apocalyptic number.

400450042603125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400450042603125 is a deficient number, since it is larger than the sum of its proper divisors (345842566612875).

400450042603125 is an equidigital number, since it uses as much as digits as its factorization.

400450042603125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33503 (or 33477 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 400450042603125 its reverse (521306240054004), we get a palindrome (921756282657129).

The spelling of 400450042603125 in words is "four hundred trillion, four hundred fifty billion, forty-two million, six hundred three thousand, one hundred twenty-five".