4057652480 has 216 divisors, whose sum is σ = 11807190528. Its totient is φ = 1308524544.

The previous prime is 4057652461. The next prime is 4057652507. The reversal of 4057652480 is 842567504.

4057652480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2588657 + ... + 2590223.

Almost surely, 2^4057652480 is an apocalyptic number.

4057652480 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 4057652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903595264).

4057652480 is an abundant number, since it is smaller than the sum of its proper divisors (7749538048).

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

4057652480 is a wasteful number, since it uses less digits than its factorization.

4057652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 4057652480 is about 63699.7054938247. The cubic root of 4057652480 is about 1594.9911694561.

The spelling of 4057652480 in words is "four billion, fifty-seven million, six hundred fifty-two thousand, four hundred eighty".