1140986744100 has 1296 divisors, whose sum is σ = 4740955809408. Its totient is φ = 232324485120.

The previous prime is 1140986744077. The next prime is 1140986744113. The reversal of 1140986744100 is 14476890411.

1140986744100 is a `hidden beast` number, since 1 + 140 + 9 + 8 + 67 + 441 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1043903154 + ... + 1043904246.

Almost surely, 2^{1140986744100} is an apocalyptic number.

1140986744100 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 1140986744100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370477904704).

1140986744100 is an abundant number, since it is smaller than the sum of its proper divisors (3599969065308).

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

1140986744100 is a wasteful number, since it uses less digits than its factorization.

1140986744100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1140986744100 in words is "one trillion, one hundred forty billion, nine hundred eighty-six million, seven hundred forty-four thousand, one hundred".