4124979040 has 576 divisors, whose sum is σ = 13458493440. Its totient is φ = 1164533760.

The previous prime is 4124978933. The next prime is 4124979043. The reversal of 4124979040 is 409794214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4124978984 and 4124979002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124979043) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 111485902 + ... + 111485938.

It is an arithmetic number, because the mean of its divisors is an integer number (23365440).

Almost surely, 2^4124979040 is an apocalyptic number.

4124979040 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 4124979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729246720).

4124979040 is an abundant number, since it is smaller than the sum of its proper divisors (9333514400).

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

4124979040 is a wasteful number, since it uses less digits than its factorization.

4124979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 4124979040 is about 64225.9997197397. Note that the first 3 decimals coincide. The cubic root of 4124979040 is about 1603.7644486329.

The spelling of 4124979040 in words is "four billion, one hundred twenty-four million, nine hundred seventy-nine thousand, forty".