400352045200 has 120 divisors (see below), whose sum is σ = 976379382720. Its totient is φ = 157725657600.

The previous prime is 400352045179. The next prime is 400352045209. The reversal of 400352045200 is 2540253004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (400352045209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30353007 + ... + 30366193.

It is an arithmetic number, because the mean of its divisors is an integer number (8136494856).

Almost surely, 2^400352045200 is an apocalyptic number.

400352045200 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 400352045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488189691360).

400352045200 is an abundant number, since it is smaller than the sum of its proper divisors (576027337520).

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

400352045200 is a wasteful number, since it uses less digits than its factorization.

400352045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14345 (or 14334 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 400352045200 its reverse (2540253004), we get a palindrome (402892298204).

The spelling of 400352045200 in words is "four hundred billion, three hundred fifty-two million, forty-five thousand, two hundred".