1165384765440 has 1560 divisors, whose sum is σ = 4962373843680. Its totient is φ = 261858852864.

The previous prime is 1165384765393. The next prime is 1165384765451. The reversal of 1165384765440 is 445674835611.

1165384765440 is a `hidden beast` number, since 1 + 1 + 6 + 53 + 8 + 47 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19752284131 + ... + 19752284189.

Almost surely, 2^{1165384765440} is an apocalyptic number.

1165384765440 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 1165384765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481186921840).

1165384765440 is an abundant number, since it is smaller than the sum of its proper divisors (3796989078240).

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

1165384765440 is an frugal number, since it uses more digits than its factorization.

1165384765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1165384765440 in words is "one trillion, one hundred sixty-five billion, three hundred eighty-four million, seven hundred sixty-five thousand, four hundred forty".