1141256056788 has 120 divisors (see below), whose sum is σ = 3277037037120. Its totient is φ = 344727187200.

The previous prime is 1141256056727. The next prime is 1141256056789. The reversal of 1141256056788 is 8876506521411.

1141256056788 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 560 + 5 + 6 + 78 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141256056789) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3888613 + ... + 4171788.

It is an arithmetic number, because the mean of its divisors is an integer number (27308641976).

Almost surely, 2^{1141256056788} is an apocalyptic number.

1141256056788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1141256056788 is an abundant number, since it is smaller than the sum of its proper divisors (2135780980332).

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

1141256056788 is a wasteful number, since it uses less digits than its factorization.

1141256056788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060459 (or 8060448 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1141256056788 in words is "one trillion, one hundred forty-one billion, two hundred fifty-six million, fifty-six thousand, seven hundred eighty-eight".