420414302400 has 168 divisors, whose sum is σ = 1411386909504. Its totient is φ = 109503206400.

The previous prime is 420414302333. The next prime is 420414302417. The reversal of 420414302400 is 4203414024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812046 + ... + 1224845.

Almost surely, 2^420414302400 is an apocalyptic number.

420414302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420414302400 is an abundant number, since it is smaller than the sum of its proper divisors (990972607104).

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

420414302400 is a wasteful number, since it uses less digits than its factorization.

420414302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036959 (or 2036944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 420414302400 its reverse (4203414024), we get a palindrome (424617716424).

The spelling of 420414302400 in words is "four hundred twenty billion, four hundred fourteen million, three hundred two thousand, four hundred".