4250689358400 has 1323 divisors, whose sum is σ = 16593208612729. Its totient is φ = 1071170749440.

The previous prime is 4250689358353. The next prime is 4250689358411. The reversal of 4250689358400 is 48539860524.

The square root of 4250689358400 is 2061720.

It is a perfect power (a square), and thus also a powerful number.

4250689358400 is a `hidden beast` number, since 4 + 2 + 50 + 6 + 8 + 9 + 3 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1530248169024 + 2720441189376 = 1237032^2 + 1649376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian 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 188 ways as a sum of consecutive naturals, for example, 51213124759 + ... + 51213124841.

Almost surely, 2^{4250689358400} is an apocalyptic number.

4250689358400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4250689358400 is the 2061720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250689358400

4250689358400 is an abundant number, since it is smaller than the sum of its proper divisors (12342519254329).

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

4250689358400 is an frugal number, since it uses more digits than its factorization.

4250689358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4250689358400 in words is "four trillion, two hundred fifty billion, six hundred eighty-nine million, three hundred fifty-eight thousand, four hundred".