420221093987520 has 448 divisors, whose sum is σ = 1730272074485760. Its totient is φ = 94006906712064.

The previous prime is 420221093987477. The next prime is 420221093987581. The reversal of 420221093987520 is 25789390122024.

420221093987520 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 1 + 0 + 9 + 39 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71073399 + ... + 76758518.

Almost surely, 2^{420221093987520} is an apocalyptic number.

420221093987520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420221093987520 is an abundant number, since it is smaller than the sum of its proper divisors (1310050980498240).

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

420221093987520 is a wasteful number, since it uses less digits than its factorization.

420221093987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147831997 (or 147831981 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 420221093987520 in words is "four hundred twenty trillion, two hundred twenty-one billion, ninety-three million, nine hundred eighty-seven thousand, five hundred twenty".