4124789760 has 528 divisors, whose sum is σ = 16398533376. Its totient is φ = 866451456.

The previous prime is 4124789729. The next prime is 4124789771. The reversal of 4124789760 is 679874214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18170767 + ... + 18170993.

Almost surely, 2^4124789760 is an apocalyptic number.

4124789760 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 4124789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199266688).

4124789760 is an abundant number, since it is smaller than the sum of its proper divisors (12273743616).

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

4124789760 is a wasteful number, since it uses less digits than its factorization.

4124789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 4124789760 is about 64224.5261562902. The cubic root of 4124789760 is about 1603.7399179888.

The spelling of 4124789760 in words is "four billion, one hundred twenty-four million, seven hundred eighty-nine thousand, seven hundred sixty".