9253366429440 has 1728 divisors, whose sum is σ = 38342044016640. Its totient is φ = 1857202421760.

The previous prime is 9253366429429. The next prime is 9253366429469. The reversal of 9253366429440 is 449246633529.

9253366429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10479463239 + ... + 10479464121.

It is an arithmetic number, because the mean of its divisors is an integer number (22188682880).

Almost surely, 2^{9253366429440} 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 9253366429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171022008320).

9253366429440 is an abundant number, since it is smaller than the sum of its proper divisors (29088677587200).

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

9253366429440 is a wasteful number, since it uses less digits than its factorization.

9253366429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 57.

The spelling of 9253366429440 in words is "nine trillion, two hundred fifty-three billion, three hundred sixty-six million, four hundred twenty-nine thousand, four hundred forty".