420635090400 has 216 divisors, whose sum is σ = 1592705169720. Its totient is φ = 96145136640.

The previous prime is 420635090389. The next prime is 420635090417. The reversal of 420635090400 is 4090536024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670815 + ... + 1906014.

It is an arithmetic number, because the mean of its divisors is an integer number (7373635045).

Almost surely, 2^420635090400 is an apocalyptic number.

420635090400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420635090400 is an abundant number, since it is smaller than the sum of its proper divisors (1172070079320).

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

420635090400 is a wasteful number, since it uses less digits than its factorization.

420635090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576866 (or 3576846 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 420635090400 in words is "four hundred twenty billion, six hundred thirty-five million, ninety thousand, four hundred".