415463939844096 has 768 divisors, whose sum is σ = 1348625974026240. Its totient is φ = 112014950400000.

The previous prime is 415463939844073. The next prime is 415463939844101. The reversal of 415463939844096 is 690448939364514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×415463939844096² (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 63 ways as a sum of consecutive naturals, for example, 6836293966 + ... + 6836354738.

It is an arithmetic number, because the mean of its divisors is an integer number (1756023403680).

Almost surely, 2^{415463939844096} 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 415463939844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674312987013120).

415463939844096 is an abundant number, since it is smaller than the sum of its proper divisors (933162034182144).

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

415463939844096 is a wasteful number, since it uses less digits than its factorization.

415463939844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61104 (or 61084 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 75.

The spelling of 415463939844096 in words is "four hundred fifteen trillion, four hundred sixty-three billion, nine hundred thirty-nine million, eight hundred forty-four thousand, ninety-six".