4057417650 has 384 divisors, whose sum is σ = 12473201664. Its totient is φ = 859622400.

The previous prime is 4057417633. The next prime is 4057417667. The reversal of 4057417650 is 567147504.

It is an interprime number because it is at equal distance from previous prime (4057417633) and next prime (4057417667).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4057417599 and 4057417608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48884509 + ... + 48884591.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 2^4057417650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057417650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236600832).

4057417650 is an abundant number, since it is smaller than the sum of its proper divisors (8415784014).

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

4057417650 is a wasteful number, since it uses less digits than its factorization.

4057417650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 4057417650 is about 63697.8622090255. The cubic root of 4057417650 is about 1594.9603996942.

The spelling of 4057417650 in words is "four billion, fifty-seven million, four hundred seventeen thousand, six hundred fifty".