420441060720 has 160 divisors (see below), whose sum is σ = 1372261812480. Its totient is φ = 106193756160.

The previous prime is 420441060671. The next prime is 420441060757. The reversal of 420441060720 is 27060144024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33423072 + ... + 33435648.

It is an arithmetic number, because the mean of its divisors is an integer number (8576636328).

Almost surely, 2^420441060720 is an apocalyptic number.

420441060720 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 420441060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686130906240).

420441060720 is an abundant number, since it is smaller than the sum of its proper divisors (951820751760).

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

420441060720 is a wasteful number, since it uses less digits than its factorization.

420441060720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19943 (or 19937 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 420441060720 in words is "four hundred twenty billion, four hundred forty-one million, sixty thousand, seven hundred twenty".