420824426400 has 1296 divisors, whose sum is σ = 1808850476160. Its totient is φ = 91697356800.

The previous prime is 420824426339. The next prime is 420824426471. The reversal of 420824426400 is 4624428024.

It is a happy number.

420824426400 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 2 + 4 + 4 + 2 + 640 + 0 = 666.

420824426400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 215 ways as a sum of consecutive naturals, for example, 679845291 + ... + 679845909.

It is an arithmetic number, because the mean of its divisors is an integer number (1395717960).

Almost surely, 2^420824426400 is an apocalyptic number.

420824426400 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 420824426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904425238080).

420824426400 is an abundant number, since it is smaller than the sum of its proper divisors (1388026049760).

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

420824426400 is a wasteful number, since it uses less digits than its factorization.

420824426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 420824426400 in words is "four hundred twenty billion, eight hundred twenty-four million, four hundred twenty-six thousand, four hundred".