420691843998720 has 3520 divisors, whose sum is σ = 1825388862713856. Its totient is φ = 90628675338240.

The previous prime is 420691843998691. The next prime is 420691843998743. The reversal of 420691843998720 is 27899348196024.

420691843998720 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 91 + 8 + 439 + 9 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 920551080732 + ... + 920551081188.

Almost surely, 2^{420691843998720} is an apocalyptic number.

420691843998720 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 420691843998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912694431356928).

420691843998720 is an abundant number, since it is smaller than the sum of its proper divisors (1404697018715136).

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

420691843998720 is a wasteful number, since it uses less digits than its factorization.

420691843998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 420691843998720 in words is "four hundred twenty trillion, six hundred ninety-one billion, eight hundred forty-three million, nine hundred ninety-eight thousand, seven hundred twenty".