420616437120 has 1024 divisors, whose sum is σ = 1743030835200. Its totient is φ = 95909806080.

The previous prime is 420616437089. The next prime is 420616437127. The reversal of 420616437120 is 21734616024.

420616437120 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 1 + 643 + 7 + 1 + 2 + 0 = 666.

420616437120 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 not an unprimeable number, because it can be changed into a prime (420616437127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261739357 + ... + 261740963.

It is an arithmetic number, because the mean of its divisors is an integer number (1702178550).

Almost surely, 2^420616437120 is an apocalyptic number.

420616437120 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 420616437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871515417600).

420616437120 is an abundant number, since it is smaller than the sum of its proper divisors (1322414398080).

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

420616437120 is a wasteful number, since it uses less digits than its factorization.

420616437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 420616437120 in words is "four hundred twenty billion, six hundred sixteen million, four hundred thirty-seven thousand, one hundred twenty".