1130440611664 has 80 divisors (see below), whose sum is σ = 2705688074880. Its totient is φ = 445544640000.

The previous prime is 1130440611659. The next prime is 1130440611679. The reversal of 1130440611664 is 4661160440311.

It is a super-3 number, since 3×1130440611664³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051462 + ... + 1834789.

It is an arithmetic number, because the mean of its divisors is an integer number (33821100936).

Almost surely, 2^{1130440611664} is an apocalyptic number.

1130440611664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1130440611664 is an abundant number, since it is smaller than the sum of its proper divisors (1575247463216).

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

1130440611664 is a wasteful number, since it uses less digits than its factorization.

1130440611664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886548 (or 2886542 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1130440611664 in words is "one trillion, one hundred thirty billion, four hundred forty million, six hundred eleven thousand, six hundred sixty-four".