9742909440 has 544 divisors, whose sum is σ = 36691491456. Its totient is φ = 2181038080.

The previous prime is 9742909439. The next prime is 9742909459. The reversal of 9742909440 is 449092479.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-2 number, since 2×9742909440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9742909440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183828454 + ... + 183828506.

Almost surely, 2^9742909440 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 9742909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345745728).

9742909440 is an abundant number, since it is smaller than the sum of its proper divisors (26948582016).

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

9742909440 is a wasteful number, since it uses less digits than its factorization.

9742909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 9742909440 is about 98706.1773142897. The cubic root of 9742909440 is about 2135.8113427340.

The spelling of 9742909440 in words is "nine billion, seven hundred forty-two million, nine hundred nine thousand, four hundred forty".