9417410688400 has 1215 divisors, whose sum is σ = 28664103995163. Its totient is φ = 2969597030400.

The previous prime is 9417410688383. The next prime is 9417410688463. The reversal of 9417410688400 is 48860147149.

The square root of 9417410688400 is 3068780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 9390964123024 + 26446565376 = 3064468^2 + 162624^2 .

It is a super-3 number, since 3×9417410688400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 254524613182 + ... + 254524613218.

Almost surely, 2^{9417410688400} is an apocalyptic number.

9417410688400 is the 3068780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9417410688400

9417410688400 is an abundant number, since it is smaller than the sum of its proper divisors (19246693306763).

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

9417410688400 is a wasteful number, since it uses less digits than its factorization.

9417410688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 9417410688400 in words is "nine trillion, four hundred seventeen billion, four hundred ten million, six hundred eighty-eight thousand, four hundred".