420426547200 has 924 divisors, whose sum is σ = 1705386822588. Its totient is φ = 101921587200.

The previous prime is 420426547199. The next prime is 420426547217. The reversal of 420426547200 is 2745624024.

420426547200 is a `hidden beast` number, since 4 + 20 + 426 + 5 + 4 + 7 + 200 = 666.

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 41 ways as a sum of consecutive naturals, for example, 38220595195 + ... + 38220595205.

Almost surely, 2^420426547200 is an apocalyptic number.

420426547200 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 420426547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852693411294).

420426547200 is an abundant number, since it is smaller than the sum of its proper divisors (1284960275388).

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

420426547200 is an frugal number, since it uses more digits than its factorization.

420426547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 420426547200 in words is "four hundred twenty billion, four hundred twenty-six million, five hundred forty-seven thousand, two hundred".