1240491936816 has 160 divisors (see below), whose sum is σ = 3886909079040. Its totient is φ = 375660806400.

The previous prime is 1240491936791. The next prime is 1240491936821. The reversal of 1240491936816 is 6186391940421.

1240491936816 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 491 + 93 + 68 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7247746 + ... + 7416926.

It is an arithmetic number, because the mean of its divisors is an integer number (24293181744).

Almost surely, 2^{1240491936816} is an apocalyptic number.

1240491936816 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 1240491936816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943454539520).

1240491936816 is an abundant number, since it is smaller than the sum of its proper divisors (2646417142224).

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

1240491936816 is a wasteful number, since it uses less digits than its factorization.

1240491936816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170752 (or 170740 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1240491936816 in words is "one trillion, two hundred forty billion, four hundred ninety-one million, nine hundred thirty-six thousand, eight hundred sixteen".