400054531532300 has 144 divisors (see below), whose sum is σ = 920589528499200. Its totient is φ = 150378665149440.

The previous prime is 400054531532273. The next prime is 400054531532303. The reversal of 400054531532300 is 3235135450004.

It is a happy number.

It is a super-3 number, since 3×400054531532300³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (400054531532303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2939369651 + ... + 2939505749.

It is an arithmetic number, because the mean of its divisors is an integer number (6392982836800).

Almost surely, 2^{400054531532300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400054531532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460294764249600).

400054531532300 is an abundant number, since it is smaller than the sum of its proper divisors (520534996966900).

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

400054531532300 is a wasteful number, since it uses less digits than its factorization.

400054531532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138760 (or 138753 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 400054531532300 its reverse (3235135450004), we get a palindrome (403289666982304).

The spelling of 400054531532300 in words is "four hundred trillion, fifty-four billion, five hundred thirty-one million, five hundred thirty-two thousand, three hundred".