4157948784 has 80 divisors (see below), whose sum is σ = 11738248704. Its totient is φ = 1257792000.

The previous prime is 4157948737. The next prime is 4157948797. The reversal of 4157948784 is 4878497514.

It is a congruent number.

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, 310777 + ... + 323879.

Almost surely, 2^4157948784 is an apocalyptic number.

4157948784 is a gapful number since it is divisible by the number (44) 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 4157948784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869124352).

4157948784 is an abundant number, since it is smaller than the sum of its proper divisors (7580299920).

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

4157948784 is a wasteful number, since it uses less digits than its factorization.

4157948784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13720 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The square root of 4157948784 is about 64482.1586487301. The cubic root of 4157948784 is about 1608.0259209702.

The spelling of 4157948784 in words is "four billion, one hundred fifty-seven million, nine hundred forty-eight thousand, seven hundred eighty-four".