420317694720 has 864 divisors, whose sum is σ = 1838217798144. Its totient is φ = 86129049600.

The previous prime is 420317694707. The next prime is 420317694749. The reversal of 420317694720 is 27496713024.

420317694720 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 176 + 9 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64750675 + ... + 64757165.

It is an arithmetic number, because the mean of its divisors is an integer number (2127566896).

Almost surely, 2^420317694720 is an apocalyptic number.

420317694720 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 420317694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919108899072).

420317694720 is an abundant number, since it is smaller than the sum of its proper divisors (1417900103424).

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

420317694720 is a wasteful number, since it uses less digits than its factorization.

420317694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 420317694720 in words is "four hundred twenty billion, three hundred seventeen million, six hundred ninety-four thousand, seven hundred twenty".