9401765220792 has 384 divisors, whose sum is σ = 31884100761600. Its totient is φ = 2554562900736.

The previous prime is 9401765220737. The next prime is 9401765220811. The reversal of 9401765220792 is 2970225671049.

9401765220792 is a `hidden beast` number, since 9 + 40 + 1 + 7 + 6 + 522 + 0 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 42002113 + ... + 42225359.

It is an arithmetic number, because the mean of its divisors is an integer number (83031512400).

Almost surely, 2^{9401765220792} is an apocalyptic number.

9401765220792 is a gapful number since it is divisible by the number (92) 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 9401765220792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942050380800).

9401765220792 is an abundant number, since it is smaller than the sum of its proper divisors (22482335540808).

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

9401765220792 is a wasteful number, since it uses less digits than its factorization.

9401765220792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223472 (or 223455 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 9401765220792 in words is "nine trillion, four hundred one billion, seven hundred sixty-five million, two hundred twenty thousand, seven hundred ninety-two".