1240982742384 has 800 divisors, whose sum is σ = 4731386457600. Its totient is φ = 308253496320.

The previous prime is 1240982742379. The next prime is 1240982742421. The reversal of 1240982742384 is 4832472890421.

1240982742384 is a `hidden beast` number, since 12 + 40 + 98 + 2 + 7 + 423 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1240982742384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 262417332 + ... + 262422060.

It is an arithmetic number, because the mean of its divisors is an integer number (5914233072).

Almost surely, 2^{1240982742384} is an apocalyptic number.

1240982742384 is a gapful number since it is divisible by the number (14) 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 1240982742384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365693228800).

1240982742384 is an abundant number, since it is smaller than the sum of its proper divisors (3490403715216).

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

1240982742384 is a wasteful number, since it uses less digits than its factorization.

1240982742384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1240982742384 in words is "one trillion, two hundred forty billion, nine hundred eighty-two million, seven hundred forty-two thousand, three hundred eighty-four".