1130546174940 has 1152 divisors, whose sum is σ = 4624558848000. Its totient is φ = 216836186112.

The previous prime is 1130546174917. The next prime is 1130546174951. The reversal of 1130546174940 is 494716450311.

1130546174940 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 546 + 17 + 4 + 94 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2066811747 + ... + 2066812293.

It is an arithmetic number, because the mean of its divisors is an integer number (4014374000).

Almost surely, 2^{1130546174940} is an apocalyptic number.

1130546174940 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 1130546174940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312279424000).

1130546174940 is an abundant number, since it is smaller than the sum of its proper divisors (3494012673060).

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

1130546174940 is a wasteful number, since it uses less digits than its factorization.

1130546174940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1130546174940 in words is "one trillion, one hundred thirty billion, five hundred forty-six million, one hundred seventy-four thousand, nine hundred forty".