416077867452 has 96 divisors (see below), whose sum is σ = 1079979894784. Its totient is φ = 123811027200.

The previous prime is 416077867399. The next prime is 416077867519. The reversal of 416077867452 is 254768770614.

It is a junction number, because it is equal to n+sod(n) for n = 416077867392 and 416077867401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7375818 + ... + 7432014.

Almost surely, 2^416077867452 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 416077867452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539989947392).

416077867452 is an abundant number, since it is smaller than the sum of its proper divisors (663902027332).

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

416077867452 is a wasteful number, since it uses less digits than its factorization.

416077867452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57779 (or 57777 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 416077867452 in words is "four hundred sixteen billion, seventy-seven million, eight hundred sixty-seven thousand, four hundred fifty-two".