9740102400 has 1296 divisors, whose sum is σ = 44481528000. Its totient is φ = 2023096320.

The previous prime is 9740102369. The next prime is 9740102423. The reversal of 9740102400 is 42010479.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335865586 + ... + 335865614.

Almost surely, 2^9740102400 is an apocalyptic number.

9740102400 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 9740102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240764000).

9740102400 is an abundant number, since it is smaller than the sum of its proper divisors (34741425600).

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

9740102400 is a wasteful number, since it uses less digits than its factorization.

9740102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 9740102400 is about 98691.9571191087. The cubic root of 9740102400 is about 2135.6062060730.

Adding to 9740102400 its reverse (42010479), we get a palindrome (9782112879).

The spelling of 9740102400 in words is "nine billion, seven hundred forty million, one hundred two thousand, four hundred".