420419179460896 has 768 divisors, whose sum is σ = 1174424832000000. Its totient is φ = 145950359224320.

The previous prime is 420419179460881. The next prime is 420419179461133. The reversal of 420419179460896 is 698064971914024.

It is a super-2 number, since 2×420419179460896² (a number of 30 digits) contains 22 as substring.

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, 77956455576 + ... + 77956460968.

It is an arithmetic number, because the mean of its divisors is an integer number (1529199000000).

Almost surely, 2^{420419179460896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420419179460896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587212416000000).

420419179460896 is an abundant number, since it is smaller than the sum of its proper divisors (754005652539104).

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

420419179460896 is a wasteful number, since it uses less digits than its factorization.

420419179460896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 70.

The spelling of 420419179460896 in words is "four hundred twenty trillion, four hundred nineteen billion, one hundred seventy-nine million, four hundred sixty thousand, eight hundred ninety-six".