4328062502400 has 1920 divisors, whose sum is σ = 19805149056000. Its totient is φ = 912636149760.

The previous prime is 4328062502383. The next prime is 4328062502431. The reversal of 4328062502400 is 42052608234.

4328062502400 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 0 + 625 + 0 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2547416751 + ... + 2547418449.

It is an arithmetic number, because the mean of its divisors is an integer number (10315181800).

Almost surely, 2^{4328062502400} is an apocalyptic number.

4328062502400 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 4328062502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902574528000).

4328062502400 is an abundant number, since it is smaller than the sum of its proper divisors (15477086553600).

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

4328062502400 is an equidigital number, since it uses as much as digits as its factorization.

4328062502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4328062502400 in words is "four trillion, three hundred twenty-eight billion, sixty-two million, five hundred two thousand, four hundred".