9745410452400 has 1080 divisors, whose sum is σ = 41822831091600. Its totient is φ = 2089317888000.

The previous prime is 9745410452357. The next prime is 9745410452431. The reversal of 9745410452400 is 42540145479.

9745410452400 is a `hidden beast` number, since 9 + 7 + 454 + 104 + 52 + 40 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 338497206 + ... + 338525994.

Almost surely, 2^{9745410452400} is an apocalyptic number.

9745410452400 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 9745410452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911415545800).

9745410452400 is an abundant number, since it is smaller than the sum of its proper divisors (32077420639200).

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

9745410452400 is a wasteful number, since it uses less digits than its factorization.

9745410452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28947 (or 28926 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 9745410452400 its reverse (42540145479), we get a palindrome (9787950597879).

The spelling of 9745410452400 in words is "nine trillion, seven hundred forty-five billion, four hundred ten million, four hundred fifty-two thousand, four hundred".