400120515200 has 288 divisors, whose sum is σ = 1155054821760. Its totient is φ = 136557066240.

The previous prime is 400120515167. The next prime is 400120515203. The reversal of 400120515200 is 2515021004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (400120515203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34960679 + ... + 34972121.

It is an arithmetic number, because the mean of its divisors is an integer number (4010607020).

Almost surely, 2^400120515200 is an apocalyptic number.

400120515200 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 400120515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577527410880).

400120515200 is an abundant number, since it is smaller than the sum of its proper divisors (754934306560).

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

400120515200 is a wasteful number, since it uses less digits than its factorization.

400120515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 400120515200 its reverse (2515021004), we get a palindrome (402635536204).

The spelling of 400120515200 in words is "four hundred billion, one hundred twenty million, five hundred fifteen thousand, two hundred".