420523840000 has 400 divisors, whose sum is σ = 1153191235680. Its totient is φ = 151879680000.

The previous prime is 420523839979. The next prime is 420523840021. The reversal of 420523840000 is 48325024.

It is an interprime number because it is at equal distance from previous prime (420523839979) and next prime (420523840021).

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 679359691 + ... + 679360309.

Almost surely, 2^420523840000 is an apocalyptic number.

420523840000 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 420523840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576595617840).

420523840000 is an abundant number, since it is smaller than the sum of its proper divisors (732667395680).

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

420523840000 is an equidigital number, since it uses as much as digits as its factorization.

420523840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 420523840000 in words is "four hundred twenty billion, five hundred twenty-three million, eight hundred forty thousand".