6124429440 has 640 divisors, whose sum is σ = 23412280320. Its totient is φ = 1522851840.

The previous prime is 6124429439. The next prime is 6124429453. The reversal of 6124429440 is 449244216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6124429395 and 6124429404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59460429 + ... + 59460531.

It is an arithmetic number, because the mean of its divisors is an integer number (36581688).

Almost surely, 2^6124429440 is an apocalyptic number.

6124429440 is a gapful number since it is divisible by the number (60) 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 6124429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706140160).

6124429440 is an abundant number, since it is smaller than the sum of its proper divisors (17287850880).

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

6124429440 is a wasteful number, since it uses less digits than its factorization.

6124429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6124429440 is about 78258.7339534700. The cubic root of 6124429440 is about 1829.5960409081.

The spelling of 6124429440 in words is "six billion, one hundred twenty-four million, four hundred twenty-nine thousand, four hundred forty".