1140041123424 has 144 divisors (see below), whose sum is σ = 3867996812400. Its totient is φ = 325726023168.

The previous prime is 1140041123411. The next prime is 1140041123437. The reversal of 1140041123424 is 4243211400411.

1140041123424 is a `hidden beast` number, since 1 + 1 + 400 + 4 + 1 + 1 + 234 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1140041123411) and next prime (1140041123437).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13421869 + ... + 13506540.

It is an arithmetic number, because the mean of its divisors is an integer number (26861088975).

Almost surely, 2^{1140041123424} is an apocalyptic number.

1140041123424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1140041123424 is an abundant number, since it is smaller than the sum of its proper divisors (2727955688976).

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

1140041123424 is a wasteful number, since it uses less digits than its factorization.

1140041123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26928442 (or 26928421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1140041123424 its reverse (4243211400411), we get a palindrome (5383252523835).

The spelling of 1140041123424 in words is "one trillion, one hundred forty billion, forty-one million, one hundred twenty-three thousand, four hundred twenty-four".