741964944240 has 1280 divisors, whose sum is σ = 3050204774400. Its totient is φ = 166080430080.

The previous prime is 741964944173. The next prime is 741964944251. The reversal of 741964944240 is 42449469147.

741964944240 is a `hidden beast` number, since 7 + 4 + 196 + 4 + 9 + 442 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1198650651 + ... + 1198651269.

It is an arithmetic number, because the mean of its divisors is an integer number (2382972480).

Almost surely, 2^741964944240 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 741964944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525102387200).

741964944240 is an abundant number, since it is smaller than the sum of its proper divisors (2308239830160).

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

741964944240 is a wasteful number, since it uses less digits than its factorization.

741964944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 741964944240 in words is "seven hundred forty-one billion, nine hundred sixty-four million, nine hundred forty-four thousand, two hundred forty".