1140401013120 has 128 divisors (see below), whose sum is σ = 4038920316000. Its totient is φ = 304106932224.

The previous prime is 1140401013113. The next prime is 1140401013127. The reversal of 1140401013120 is 213101040411.

1140401013120 is a `hidden beast` number, since 1 + 140 + 401 + 0 + 1 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1140401013113) and next prime (1140401013127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1140401013093 and 1140401013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140401013127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32980435 + ... + 33014994.

Almost surely, 2^{1140401013120} is an apocalyptic number.

1140401013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140401013120 is an abundant number, since it is smaller than the sum of its proper divisors (2898519302880).

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

1140401013120 is an equidigital number, since it uses as much as digits as its factorization.

1140401013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65995457 (or 65995439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1140401013120 its reverse (213101040411), we get a palindrome (1353502053531).

The spelling of 1140401013120 in words is "one trillion, one hundred forty billion, four hundred one million, thirteen thousand, one hundred twenty".