1045561135440 has 160 divisors (see below), whose sum is σ = 3287132574336. Its totient is φ = 274871992320.

The previous prime is 1045561135439. The next prime is 1045561135483. The reversal of 1045561135440 is 445311655401.

It is a congruent number.

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, 42333495 + ... + 42358185.

Almost surely, 2^{1045561135440} is an apocalyptic number.

1045561135440 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 1045561135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643566287168).

1045561135440 is an abundant number, since it is smaller than the sum of its proper divisors (2241571438896).

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

1045561135440 is a wasteful number, since it uses less digits than its factorization.

1045561135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27197 (or 27191 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 1045561135440 in words is "one trillion, forty-five billion, five hundred sixty-one million, one hundred thirty-five thousand, four hundred forty".