420750590400 has 672 divisors, whose sum is σ = 1759583252480. Its totient is φ = 95805296640.

The previous prime is 420750590369. The next prime is 420750590431. The reversal of 420750590400 is 4095057024.

420750590400 is a `hidden beast` number, since 4 + 20 + 7 + 5 + 0 + 590 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (420750590369) and next prime (420750590431).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83762289 + ... + 83767311.

Almost surely, 2^420750590400 is an apocalyptic number.

420750590400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420750590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879791626240).

420750590400 is an abundant number, since it is smaller than the sum of its proper divisors (1338832662080).

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

420750590400 is a wasteful number, since it uses less digits than its factorization.

420750590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 420750590400 in words is "four hundred twenty billion, seven hundred fifty million, five hundred ninety thousand, four hundred".