420179251968 has 432 divisors, whose sum is σ = 1462437849600. Its totient is φ = 113341317120.

The previous prime is 420179251951. The next prime is 420179252023. The reversal of 420179251968 is 869152971024.

It is a happy number.

420179251968 is a `hidden beast` number, since 4 + 20 + 17 + 92 + 519 + 6 + 8 = 666.

It is a super-3 number, since 3×420179251968³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95298148 + ... + 95302556.

It is an arithmetic number, because the mean of its divisors is an integer number (3385272800).

Almost surely, 2^420179251968 is an apocalyptic number.

420179251968 is a gapful number since it is divisible by the number (48) 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 420179251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731218924800).

420179251968 is an abundant number, since it is smaller than the sum of its proper divisors (1042258597632).

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

420179251968 is a wasteful number, since it uses less digits than its factorization.

420179251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 420179251968 in words is "four hundred twenty billion, one hundred seventy-nine million, two hundred fifty-one thousand, nine hundred sixty-eight".