8416397435904 has 880 divisors, whose sum is σ = 27469811939328. Its totient is φ = 2556384509952.

The previous prime is 8416397435903. The next prime is 8416397435909. The reversal of 8416397435904 is 4095347936148.

8416397435904 is a `hidden beast` number, since 8 + 4 + 1 + 6 + 39 + 7 + 4 + 3 + 590 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (8416397435903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7700271582 + ... + 7700272674.

Almost surely, 2^{8416397435904} 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 8416397435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13734905969664).

8416397435904 is an abundant number, since it is smaller than the sum of its proper divisors (19053414503424).

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

8416397435904 is a wasteful number, since it uses less digits than its factorization.

8416397435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 8416397435904 in words is "eight trillion, four hundred sixteen billion, three hundred ninety-seven million, four hundred thirty-five thousand, nine hundred four".