4529081390400 has 672 divisors, whose sum is σ = 18921788928000. Its totient is φ = 1032310241280.

The previous prime is 4529081390333. The next prime is 4529081390413. The reversal of 4529081390400 is 40931809254.

4529081390400 is a `hidden beast` number, since 4 + 52 + 90 + 81 + 39 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108540741 + ... + 108582459.

It is an arithmetic number, because the mean of its divisors is an integer number (28157424000).

Almost surely, 2^{4529081390400} is an apocalyptic number.

4529081390400 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 4529081390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460894464000).

4529081390400 is an abundant number, since it is smaller than the sum of its proper divisors (14392707537600).

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

4529081390400 is a wasteful number, since it uses less digits than its factorization.

4529081390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42116 (or 42095 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4529081390400 in words is "four trillion, five hundred twenty-nine billion, eighty-one million, three hundred ninety thousand, four hundred".