4250413440 has 1280 divisors, whose sum is σ = 20153992320. Its totient is φ = 828112896.

The previous prime is 4250413439. The next prime is 4250413451. The reversal of 4250413440 is 443140524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196454 + ... + 80196506.

Almost surely, 2^4250413440 is an apocalyptic number.

4250413440 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 4250413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076996160).

4250413440 is an abundant number, since it is smaller than the sum of its proper divisors (15903578880).

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

4250413440 is a wasteful number, since it uses less digits than its factorization.

4250413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4250413440 is about 65195.1949149629. The cubic root of 4250413440 is about 1619.8584238416.

Adding to 4250413440 its reverse (443140524), we get a palindrome (4693553964).

The spelling of 4250413440 in words is "four billion, two hundred fifty million, four hundred thirteen thousand, four hundred forty".