1097152573440 has 1248 divisors, whose sum is σ = 4568171811840. Its totient is φ = 219815608320.

The previous prime is 1097152573397. The next prime is 1097152573471. The reversal of 1097152573440 is 443752517901.

1097152573440 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1097152573440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1509150357 + ... + 1509151083.

It is an arithmetic number, because the mean of its divisors is an integer number (3660394080).

Almost surely, 2^{1097152573440} is an apocalyptic number.

1097152573440 is a gapful number since it is divisible by the number (10) 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 1097152573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284085905920).

1097152573440 is an abundant number, since it is smaller than the sum of its proper divisors (3471019238400).

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

1097152573440 is a wasteful number, since it uses less digits than its factorization.

1097152573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 1097152573440 in words is "one trillion, ninety-seven billion, one hundred fifty-two million, five hundred seventy-three thousand, four hundred forty".