9406396121760 has 1152 divisors, whose sum is σ = 36588253298688. Its totient is φ = 2180044800000.

The previous prime is 9406396121741. The next prime is 9406396121797. The reversal of 9406396121760 is 671216936049.

9406396121760 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 3 + 9 + 612 + 17 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9406396121697 and 9406396121706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20582923452 + ... + 20582923908.

It is an arithmetic number, because the mean of its divisors is an integer number (31760636544).

Almost surely, 2^{9406396121760} is an apocalyptic number.

9406396121760 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 9406396121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294126649344).

9406396121760 is an abundant number, since it is smaller than the sum of its proper divisors (27181857176928).

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

9406396121760 is a wasteful number, since it uses less digits than its factorization.

9406396121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9406396121760 in words is "nine trillion, four hundred six billion, three hundred ninety-six million, one hundred twenty-one thousand, seven hundred sixty".