420407652188160 has 2448 divisors, whose sum is σ = 1884912883176960. Its totient is φ = 85828168581120.

The previous prime is 420407652188143. The next prime is 420407652188179. The reversal of 420407652188160 is 61881256704024.

420407652188160 is a `hidden beast` number, since 4 + 2 + 0 + 40 + 76 + 521 + 8 + 8 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420407652188097 and 420407652188106.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 58236269031 + ... + 58236276249.

Almost surely, 2^{420407652188160} is an apocalyptic number.

420407652188160 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 420407652188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942456441588480).

420407652188160 is an abundant number, since it is smaller than the sum of its proper divisors (1464505230988800).

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

420407652188160 is a wasteful number, since it uses less digits than its factorization.

420407652188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 420407652188160 in words is "four hundred twenty trillion, four hundred seven billion, six hundred fifty-two million, one hundred eighty-eight thousand, one hundred sixty".