400061264200 has 96 divisors (see below), whose sum is σ = 1028764857960. Its totient is φ = 143722598400.

The previous prime is 400061264179. The next prime is 400061264279. The reversal of 400061264200 is 2462160004.

It can be written as a sum of positive squares in 12 ways, for example, as 10278309924 + 389782954276 = 101382^2 + 624326^2 .

It is a super-2 number, since 2×400061264200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983121 + ... + 2175520.

Almost surely, 2^400061264200 is an apocalyptic number.

400061264200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400061264200 is an abundant number, since it is smaller than the sum of its proper divisors (628703593760).

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

400061264200 is a wasteful number, since it uses less digits than its factorization.

400061264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158707 (or 4158698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 400061264200 in words is "four hundred billion, sixty-one million, two hundred sixty-four thousand, two hundred".