4050157440 has 256 divisors, whose sum is σ = 15231651840. Its totient is φ = 895795200.

The previous prime is 4050157421. The next prime is 4050157453. The reversal of 4050157440 is 447510504.

4050157440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4050157398 and 4050157407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411780 + ... + 421500.

It is an arithmetic number, because the mean of its divisors is an integer number (59498640).

Almost surely, 2^4050157440 is an apocalyptic number.

4050157440 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 4050157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615825920).

4050157440 is an abundant number, since it is smaller than the sum of its proper divisors (11181494400).

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

4050157440 is a wasteful number, since it uses less digits than its factorization.

4050157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 4050157440 is about 63640.8472602306. The cubic root of 4050157440 is about 1594.0085084402.

Adding to 4050157440 its reverse (447510504), we get a palindrome (4497667944).

The spelling of 4050157440 in words is "four billion, fifty million, one hundred fifty-seven thousand, four hundred forty".