1140987284640 has 384 divisors, whose sum is σ = 4711177175040. Its totient is φ = 252384076800.

The previous prime is 1140987284629. The next prime is 1140987284641. The reversal of 1140987284640 is 464827890411.

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

It is not an unprimeable number, because it can be changed into a prime (1140987284641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328875 + ... + 1546005.

It is an arithmetic number, because the mean of its divisors is an integer number (12268690560).

Almost surely, 2^{1140987284640} is an apocalyptic number.

1140987284640 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 1140987284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355588587520).

1140987284640 is an abundant number, since it is smaller than the sum of its proper divisors (3570189890400).

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

1140987284640 is a wasteful number, since it uses less digits than its factorization.

1140987284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217193 (or 1217179 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1140987284640 in words is "one trillion, one hundred forty billion, nine hundred eighty-seven million, two hundred eighty-four thousand, six hundred forty".