1140130544400 has 120 divisors (see below), whose sum is σ = 4058020235360. Its totient is φ = 304034808960.

The previous prime is 1140130544381. The next prime is 1140130544407. The reversal of 1140130544400 is 44450310411.

1140130544400 is a `hidden beast` number, since 1 + 1 + 40 + 130 + 54 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1140130544407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52773022 + ... + 52794621.

Almost surely, 2^{1140130544400} is an apocalyptic number.

1140130544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140130544400 is an abundant number, since it is smaller than the sum of its proper divisors (2917889690960).

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

1140130544400 is a wasteful number, since it uses less digits than its factorization.

1140130544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105567670 (or 105567653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1140130544400 its reverse (44450310411), we get a palindrome (1184580854811).

It can be divided in two parts, 1140130 and 544400, that added together give a triangular number (1684530 = T₁₈₃₅).

The spelling of 1140130544400 in words is "one trillion, one hundred forty billion, one hundred thirty million, five hundred forty-four thousand, four hundred".