400523541200 has 60 divisors (see below), whose sum is σ = 962319856620. Its totient is φ = 160199086080.

The previous prime is 400523541179. The next prime is 400523541211. The reversal of 400523541200 is 2145325004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9883541056 + 390640000144 = 99416^2 + 625012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 400523541200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10336262 + ... + 10374938.

It is an arithmetic number, because the mean of its divisors is an integer number (16038664277).

Almost surely, 2^400523541200 is an apocalyptic number.

400523541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400523541200 is an abundant number, since it is smaller than the sum of its proper divisors (561796315420).

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

400523541200 is a wasteful number, since it uses less digits than its factorization.

400523541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64584 (or 64573 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 400523541200 its reverse (2145325004), we get a palindrome (402668866204).

The spelling of 400523541200 in words is "four hundred billion, five hundred twenty-three million, five hundred forty-one thousand, two hundred".