9401613419520 has 1056 divisors, whose sum is σ = 37632228791040. Its totient is φ = 2125879050240.

The previous prime is 9401613419501. The next prime is 9401613419543. The reversal of 9401613419520 is 259143161049.

9401613419520 is a `hidden beast` number, since 9 + 4 + 0 + 1 + 613 + 4 + 1 + 9 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18470753026 + ... + 18470753534.

Almost surely, 2^{9401613419520} is an apocalyptic number.

9401613419520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9401613419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816114395520).

9401613419520 is an abundant number, since it is smaller than the sum of its proper divisors (28230615371520).

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

9401613419520 is a wasteful number, since it uses less digits than its factorization.

9401613419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9401613419520 in words is "nine trillion, four hundred one billion, six hundred thirteen million, four hundred nineteen thousand, five hundred twenty".