744099251351040 has 2560 divisors, whose sum is σ = 3183002674790400. Its totient is φ = 162773870837760.

The previous prime is 744099251351039. The next prime is 744099251351087. The reversal of 744099251351040 is 40153152990447.

744099251351040 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 99 + 25 + 13 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×744099251351040² (a number of 31 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90843513345 + ... + 90843521535.

It is an arithmetic number, because the mean of its divisors is an integer number (1243360419840).

Almost surely, 2^{744099251351040} 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 744099251351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591501337395200).

744099251351040 is an abundant number, since it is smaller than the sum of its proper divisors (2438903423439360).

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

744099251351040 is a wasteful number, since it uses less digits than its factorization.

744099251351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 744099251351040 in words is "seven hundred forty-four trillion, ninety-nine billion, two hundred fifty-one million, three hundred fifty-one thousand, forty".