4056501440 has 112 divisors (see below), whose sum is σ = 10035722880. Its totient is φ = 1559900160.

The previous prime is 4056501437. The next prime is 4056501451. The reversal of 4056501440 is 441056504.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2514074 + ... + 2515686.

Almost surely, 2^4056501440 is an apocalyptic number.

4056501440 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 4056501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017861440).

4056501440 is an abundant number, since it is smaller than the sum of its proper divisors (5979221440).

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

4056501440 is a wasteful number, since it uses less digits than its factorization.

4056501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 4056501440 is about 63690.6699603639. The cubic root of 4056501440 is about 1594.8403373950.

Adding to 4056501440 its reverse (441056504), we get a palindrome (4497557944).

The spelling of 4056501440 in words is "four billion, fifty-six million, five hundred one thousand, four hundred forty".