4250390144 has 256 divisors, whose sum is σ = 11618208000. Its totient is φ = 1526353920.

The previous prime is 4250390141. The next prime is 4250390219. The reversal of 4250390144 is 4410930524.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4250390144.

It is not an unprimeable number, because it can be changed into a prime (4250390141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6277934 + ... + 6278610.

It is an arithmetic number, because the mean of its divisors is an integer number (45383625).

Almost surely, 2^4250390144 is an apocalyptic number.

4250390144 is a gapful number since it is divisible by the number (44) 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 4250390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809104000).

4250390144 is an abundant number, since it is smaller than the sum of its proper divisors (7367817856).

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

4250390144 is a wasteful number, since it uses less digits than its factorization.

4250390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 4250390144 is about 65195.0162512442. The cubic root of 4250390144 is about 1619.8554644204.

The spelling of 4250390144 in words is "four billion, two hundred fifty million, three hundred ninety thousand, one hundred forty-four".