420721817894280 has 512 divisors, whose sum is σ = 1618460452454400. Its totient is φ = 95225244613632.

The previous prime is 420721817894243. The next prime is 420721817894297. The reversal of 420721817894280 is 82498718127024.

420721817894280 is a `hidden beast` number, since 4 + 20 + 7 + 2 + 18 + 178 + 9 + 428 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501723834 + ... + 502561686.

It is an arithmetic number, because the mean of its divisors is an integer number (3161055571200).

Almost surely, 2^{420721817894280} is an apocalyptic number.

420721817894280 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 420721817894280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809230226227200).

420721817894280 is an abundant number, since it is smaller than the sum of its proper divisors (1197738634560120).

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

420721817894280 is a wasteful number, since it uses less digits than its factorization.

420721817894280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838530 (or 838520 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 420721817894280 in words is "four hundred twenty trillion, seven hundred twenty-one billion, eight hundred seventeen million, eight hundred ninety-four thousand, two hundred eighty".