4745327526400 has 240 divisors, whose sum is σ = 11985787797984. Its totient is φ = 1861516820480.

The previous prime is 4745327526377. The next prime is 4745327526437. The reversal of 4745327526400 is 46257235474.

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 23 ways as a sum of consecutive naturals, for example, 145532499 + ... + 145565101.

Almost surely, 2^{4745327526400} is an apocalyptic number.

4745327526400 is a gapful number since it is divisible by the number (40) 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 4745327526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992893898992).

4745327526400 is an abundant number, since it is smaller than the sum of its proper divisors (7240460271584).

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

4745327526400 is a wasteful number, since it uses less digits than its factorization.

4745327526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32851 (or 32830 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 49.

The spelling of 4745327526400 in words is "four trillion, seven hundred forty-five billion, three hundred twenty-seven million, five hundred twenty-six thousand, four hundred".