1140504956460 has 288 divisors, whose sum is σ = 3721634646912. Its totient is φ = 282001674240.

The previous prime is 1140504956453. The next prime is 1140504956491. The reversal of 1140504956460 is 646594050411.

1140504956460 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 0 + 49 + 564 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26627782 + ... + 26670578.

It is an arithmetic number, because the mean of its divisors is an integer number (12922342524).

Almost surely, 2^{1140504956460} is an apocalyptic number.

1140504956460 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 1140504956460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860817323456).

1140504956460 is an abundant number, since it is smaller than the sum of its proper divisors (2581129690452).

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

1140504956460 is a wasteful number, since it uses less digits than its factorization.

1140504956460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43033 (or 43028 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1140504956460 in words is "one trillion, one hundred forty billion, five hundred four million, nine hundred fifty-six thousand, four hundred sixty".