1147133245440 has 1728 divisors, whose sum is σ = 4828463771040. Its totient is φ = 230385254400.

The previous prime is 1147133245343. The next prime is 1147133245457. The reversal of 1147133245440 is 445423317411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18805463010 + ... + 18805463070.

Almost surely, 2^{1147133245440} is an apocalyptic number.

1147133245440 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 1147133245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414231885520).

1147133245440 is an abundant number, since it is smaller than the sum of its proper divisors (3681330525600).

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

1147133245440 is a wasteful number, since it uses less digits than its factorization.

1147133245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 1147133245440 in words is "one trillion, one hundred forty-seven billion, one hundred thirty-three million, two hundred forty-five thousand, four hundred forty".