4250198924400 has 1920 divisors, whose sum is σ = 17439173821440. Its totient is φ = 870137856000.

The previous prime is 4250198924339. The next prime is 4250198924459. The reversal of 4250198924400 is 44298910524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4250198924400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7549198519 + ... + 7549199081.

It is an arithmetic number, because the mean of its divisors is an integer number (9082903032).

Almost surely, 2^{4250198924400} is an apocalyptic number.

4250198924400 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 4250198924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719586910720).

4250198924400 is an abundant number, since it is smaller than the sum of its proper divisors (13188974897040).

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

4250198924400 is a wasteful number, since it uses less digits than its factorization.

4250198924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 4250198924400 in words is "four trillion, two hundred fifty billion, one hundred ninety-eight million, nine hundred twenty-four thousand, four hundred".