4251985920 has 768 divisors, whose sum is σ = 18712512000. Its totient is φ = 897122304.

The previous prime is 4251985901. The next prime is 4251985921. The reversal of 4251985920 is 295891524.

It is a happy number.

4251985920 is a `hidden beast` number, since 4 + 2 + 51 + 9 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251985921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327075834 + ... + 327075846.

It is an arithmetic number, because the mean of its divisors is an integer number (24365250).

Almost surely, 2^4251985920 is an apocalyptic number.

4251985920 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 4251985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256000).

4251985920 is an abundant number, since it is smaller than the sum of its proper divisors (14460526080).

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

4251985920 is an equidigital number, since it uses as much as digits as its factorization.

4251985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4251985920 is about 65207.2535842448. The cubic root of 4251985920 is about 1620.0581597775.

The spelling of 4251985920 in words is "four billion, two hundred fifty-one million, nine hundred eighty-five thousand, nine hundred twenty".