420339081600 has 288 divisors, whose sum is σ = 1501655617800. Its totient is φ = 111956705280.

The previous prime is 420339081563. The next prime is 420339081601. The reversal of 420339081600 is 6180933024.

420339081600 is a `hidden beast` number, since 4 + 203 + 390 + 8 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420339081601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25422136 + ... + 25438664.

Almost surely, 2^420339081600 is an apocalyptic number.

420339081600 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 420339081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750827808900).

420339081600 is an abundant number, since it is smaller than the sum of its proper divisors (1081316536200).

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

420339081600 is a wasteful number, since it uses less digits than its factorization.

420339081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442 (or 17422 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 420339081600 in words is "four hundred twenty billion, three hundred thirty-nine million, eighty-one thousand, six hundred".