420050000400 has 60 divisors (see below), whose sum is σ = 1345560171792. Its totient is φ = 112013333120.

The previous prime is 420050000399. The next prime is 420050000407. The reversal of 420050000400 is 4000050024.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420050000400.

It is not an unprimeable number, because it can be changed into a prime (420050000407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175019634 + ... + 175022033.

Almost surely, 2^420050000400 is an apocalyptic number.

420050000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420050000400 is an abundant number, since it is smaller than the sum of its proper divisors (925510171392).

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

420050000400 is a wasteful number, since it uses less digits than its factorization.

420050000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350041688 (or 350041677 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 420050000400 its reverse (4000050024), we get a palindrome (424050050424).

The spelling of 420050000400 in words is "four hundred twenty billion, fifty million, four hundred", and thus it is an aban number.