420131201334400 has 96 divisors (see below), whose sum is σ = 1037862330656580. Its totient is φ = 168051351552000.

The previous prime is 420131201334389. The next prime is 420131201334419. The reversal of 420131201334400 is 4433102131024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 100056487974976 + 320074713359424 = 10002824^2 + 17890632^2 .

It is a super-2 number, since 2×420131201334400² (a number of 30 digits) contains 22 as substring.

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, 606428200 + ... + 607120600.

Almost surely, 2^{420131201334400} is an apocalyptic number.

420131201334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420131201334400 is an abundant number, since it is smaller than the sum of its proper divisors (617731129322180).

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

420131201334400 is a wasteful number, since it uses less digits than its factorization.

420131201334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882042 (or 882025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 420131201334400 its reverse (4433102131024), we get a palindrome (424564303465424).

The spelling of 420131201334400 in words is "four hundred twenty trillion, one hundred thirty-one billion, two hundred one million, three hundred thirty-four thousand, four hundred".