1140218021376 has 960 divisors, whose sum is σ = 4066659717120. Its totient is φ = 312095047680.

The previous prime is 1140218021359. The next prime is 1140218021377. The reversal of 1140218021376 is 6731208120411.

1140218021376 is a `hidden beast` number, since 1 + 1 + 402 + 180 + 2 + 1 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1140218021376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140218021377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4238728570 + ... + 4238728838.

It is an arithmetic number, because the mean of its divisors is an integer number (4236103872).

Almost surely, 2^{1140218021376} is an apocalyptic number.

1140218021376 is a gapful number since it is divisible by the number (16) 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 1140218021376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033329858560).

1140218021376 is an abundant number, since it is smaller than the sum of its proper divisors (2926441695744).

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

1140218021376 is an equidigital number, since it uses as much as digits as its factorization.

1140218021376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1140218021376 in words is "one trillion, one hundred forty billion, two hundred eighteen million, twenty-one thousand, three hundred seventy-six".