420907875840 has 240 divisors, whose sum is σ = 1488741553728. Its totient is φ = 109853687808.

The previous prime is 420907875833. The next prime is 420907875863. The reversal of 420907875840 is 48578709024.

It is a happy number.

420907875840 is a `hidden beast` number, since 420 + 9 + 0 + 78 + 75 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888534 + ... + 1277226.

Almost surely, 2^420907875840 is an apocalyptic number.

420907875840 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 420907875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744370776864).

420907875840 is an abundant number, since it is smaller than the sum of its proper divisors (1067833677888).

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

420907875840 is a wasteful number, since it uses less digits than its factorization.

420907875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388769 (or 388750 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 420907875840 in words is "four hundred twenty billion, nine hundred seven million, eight hundred seventy-five thousand, eight hundred forty".