1140005497764 has 384 divisors, whose sum is σ = 3302527979520. Its totient is φ = 298896998400.

The previous prime is 1140005497747. The next prime is 1140005497789. The reversal of 1140005497764 is 4677945000411.

It is a super-2 number, since 2×1140005497764² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1724667594 + ... + 1724668254.

It is an arithmetic number, because the mean of its divisors is an integer number (8600333280).

Almost surely, 2^{1140005497764} is an apocalyptic number.

1140005497764 is a gapful number since it is divisible by the number (14) 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 1140005497764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651263989760).

1140005497764 is an abundant number, since it is smaller than the sum of its proper divisors (2162522481756).

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

1140005497764 is a wasteful number, since it uses less digits than its factorization.

1140005497764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1140005497764 in words is "one trillion, one hundred forty billion, five million, four hundred ninety-seven thousand, seven hundred sixty-four".