1140387504480 has 240 divisors, whose sum is σ = 4599563300640. Its totient is φ = 260659980288.

The previous prime is 1140387504461. The next prime is 1140387504497. The reversal of 1140387504480 is 844057830411.

1140387504480 is a `hidden beast` number, since 1 + 1 + 40 + 3 + 87 + 50 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6194485 + ... + 6375924.

It is an arithmetic number, because the mean of its divisors is an integer number (19164847086).

Almost surely, 2^{1140387504480} is an apocalyptic number.

1140387504480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140387504480 is an abundant number, since it is smaller than the sum of its proper divisors (3459175796160).

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

1140387504480 is a wasteful number, since it uses less digits than its factorization.

1140387504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570443 (or 12570426 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1140387504480 in words is "one trillion, one hundred forty billion, three hundred eighty-seven million, five hundred four thousand, four hundred eighty".