9740070412800 has 2880 divisors, whose sum is σ = 43511798816640. Its totient is φ = 1896590868480.

The previous prime is 9740070412757. The next prime is 9740070412811. The reversal of 9740070412800 is 82140700479.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24534182202 + ... + 24534182598.

It is an arithmetic number, because the mean of its divisors is an integer number (15108263478).

Almost surely, 2^{9740070412800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9740070412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755899408320).

9740070412800 is an abundant number, since it is smaller than the sum of its proper divisors (33771728403840).

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

9740070412800 is a wasteful number, since it uses less digits than its factorization.

9740070412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 9740070412800 in words is "nine trillion, seven hundred forty billion, seventy million, four hundred twelve thousand, eight hundred".