420104431200 has 72 divisors (see below), whose sum is σ = 1367439931368. Its totient is φ = 112027847680.

The previous prime is 420104431151. The next prime is 420104431211. The reversal of 420104431200 is 2134401024.

It is a super-3 number, since 3×420104431200³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 87519357 + ... + 87524156.

It is an arithmetic number, because the mean of its divisors is an integer number (18992221269).

Almost surely, 2^420104431200 is an apocalyptic number.

420104431200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420104431200 is an abundant number, since it is smaller than the sum of its proper divisors (947335500168).

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

420104431200 is a wasteful number, since it uses less digits than its factorization.

420104431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175043536 (or 175043523 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 420104431200 its reverse (2134401024), we get a palindrome (422238832224).

The spelling of 420104431200 in words is "four hundred twenty billion, one hundred four million, four hundred thirty-one thousand, two hundred".