4045744734768 has 320 divisors, whose sum is σ = 13160307686400. Its totient is φ = 1179230976000.

The previous prime is 4045744734737. The next prime is 4045744734781. The reversal of 4045744734768 is 8674374475404.

4045744734768 is a `hidden beast` number, since 4 + 0 + 4 + 57 + 44 + 73 + 476 + 8 = 666.

4045744734768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13686838 + ... + 13979306.

It is an arithmetic number, because the mean of its divisors is an integer number (41125961520).

Almost surely, 2^{4045744734768} is an apocalyptic number.

4045744734768 is a gapful number since it is divisible by the number (48) 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 4045744734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580153843200).

4045744734768 is an abundant number, since it is smaller than the sum of its proper divisors (9114562951632).

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

4045744734768 is a wasteful number, since it uses less digits than its factorization.

4045744734768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292609 (or 292597 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 63.

The spelling of 4045744734768 in words is "four trillion, forty-five billion, seven hundred forty-four million, seven hundred thirty-four thousand, seven hundred sixty-eight".