9400921157376 has 864 divisors, whose sum is σ = 33240235714560. Its totient is φ = 2611574784000.

The previous prime is 9400921157323. The next prime is 9400921157377. The reversal of 9400921157376 is 6737511290049.

9400921157376 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 9 + 211 + 57 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×9400921157376² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9400921157377) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4818513201 + ... + 4818515151.

It is an arithmetic number, because the mean of its divisors is an integer number (38472495040).

Almost surely, 2^{9400921157376} is an apocalyptic number.

9400921157376 is a gapful number since it is divisible by the number (96) 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 9400921157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620117857280).

9400921157376 is an abundant number, since it is smaller than the sum of its proper divisors (23839314557184).

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

9400921157376 is a wasteful number, since it uses less digits than its factorization.

9400921157376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 9400921157376 in words is "nine trillion, four hundred billion, nine hundred twenty-one million, one hundred fifty-seven thousand, three hundred seventy-six".