1097940661440 has 224 divisors, whose sum is σ = 4001060344320. Its totient is φ = 249880436736.

The previous prime is 1097940661399. The next prime is 1097940661453. The reversal of 1097940661440 is 441660497901.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1215151 + ... + 1916369.

Almost surely, 2^{1097940661440} is an apocalyptic number.

1097940661440 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 1097940661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000530172160).

1097940661440 is an abundant number, since it is smaller than the sum of its proper divisors (2903119682880).

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

1097940661440 is a wasteful number, since it uses less digits than its factorization.

1097940661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701479 (or 701469 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1097940661440 in words is "one trillion, ninety-seven billion, nine hundred forty million, six hundred sixty-one thousand, four hundred forty".