419650786464 has 768 divisors, whose sum is σ = 1478738903040. Its totient is φ = 101165137920.

The previous prime is 419650786351. The next prime is 419650786493. The reversal of 419650786464 is 464687056914.

It is a happy number.

It is a super-2 number, since 2×419650786464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 419650786398 and 419650786407.

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, 554359974 + ... + 554360730.

It is an arithmetic number, because the mean of its divisors is an integer number (1925441280).

Almost surely, 2^419650786464 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 419650786464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739369451520).

419650786464 is an abundant number, since it is smaller than the sum of its proper divisors (1059088116576).

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

419650786464 is a wasteful number, since it uses less digits than its factorization.

419650786464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 419650786464 in words is "four hundred nineteen billion, six hundred fifty million, seven hundred eighty-six thousand, four hundred sixty-four".