9407161670400 has 2160 divisors, whose sum is σ = 39990504131424. Its totient is φ = 2161374658560.

The previous prime is 9407161670393. The next prime is 9407161670443. The reversal of 9407161670400 is 40761617049.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 17986924539 + ... + 17986925061.

Almost surely, 2^{9407161670400} is an apocalyptic number.

9407161670400 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 9407161670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19995252065712).

9407161670400 is an abundant number, since it is smaller than the sum of its proper divisors (30583342461024).

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

9407161670400 is a wasteful number, since it uses less digits than its factorization.

9407161670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 9407161670400 in words is "nine trillion, four hundred seven billion, one hundred sixty-one million, six hundred seventy thousand, four hundred".