1240500067968 has 512 divisors, whose sum is σ = 3986257006080. Its totient is φ = 334430208000.

The previous prime is 1240500067967. The next prime is 1240500067969. The reversal of 1240500067968 is 8697600050421.

It is an interprime number because it is at equal distance from previous prime (1240500067967) and next prime (1240500067969).

It is a super-2 number, since 2×1240500067968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1240500067967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442876168 + ... + 442878968.

It is an arithmetic number, because the mean of its divisors is an integer number (7785658215).

Almost surely, 2^{1240500067968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240500067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993128503040).

1240500067968 is an abundant number, since it is smaller than the sum of its proper divisors (2745756938112).

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

1240500067968 is a wasteful number, since it uses less digits than its factorization.

1240500067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1240500067968 in words is "one trillion, two hundred forty billion, five hundred million, sixty-seven thousand, nine hundred sixty-eight".