4250769600 has 1008 divisors, whose sum is σ = 18613380096. Its totient is φ = 838656000.

The previous prime is 4250769577. The next prime is 4250769617. The reversal of 4250769600 is 69670524.

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 143 ways as a sum of consecutive naturals, for example, 80203174 + ... + 80203226.

Almost surely, 2^4250769600 is an apocalyptic number.

4250769600 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 4250769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306690048).

4250769600 is an abundant number, since it is smaller than the sum of its proper divisors (14362610496).

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

4250769600 is a wasteful number, since it uses less digits than its factorization.

4250769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4250769600 is about 65197.9263473924. The cubic root of 4250769600 is about 1619.9036674923.

The spelling of 4250769600 in words is "four billion, two hundred fifty million, seven hundred sixty-nine thousand, six hundred".