416422464321152 has 32 divisors (see below), whose sum is σ = 837202560536100. Its totient is φ = 206301037363200.

The previous prime is 416422464321137. The next prime is 416422464321179. The reversal of 416422464321152 is 251123464224614.

It can be written as a sum of positive squares in 2 ways, for example, as 387013708856896 + 29408755464256 = 19672664^2 + 5422984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×416422464321152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416422464321097 and 416422464321106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14923382849 + ... + 14923410752.

Almost surely, 2^{416422464321152} is an apocalyptic number.

It is an amenable number.

416422464321152 is an abundant number, since it is smaller than the sum of its proper divisors (420780096214948).

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

416422464321152 is a wasteful number, since it uses less digits than its factorization.

416422464321152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29846793724 (or 29846793712 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The spelling of 416422464321152 in words is "four hundred sixteen trillion, four hundred twenty-two billion, four hundred sixty-four million, three hundred twenty-one thousand, one hundred fifty-two".