420621020400 has 120 divisors (see below), whose sum is σ = 1539873556864. Its totient is φ = 96141945600.

The previous prime is 420621020389. The next prime is 420621020401. The reversal of 420621020400 is 4020126024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420621020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25028566 + ... + 25045365.

Almost surely, 2^420621020400 is an apocalyptic number.

420621020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420621020400 is an abundant number, since it is smaller than the sum of its proper divisors (1119252536464).

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

420621020400 is a wasteful number, since it uses less digits than its factorization.

420621020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50073959 (or 50073948 counting only the distinct ones).

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

Adding to 420621020400 its reverse (4020126024), we get a palindrome (424641146424).

The spelling of 420621020400 in words is "four hundred twenty billion, six hundred twenty-one million, twenty thousand, four hundred".