4374042624 has 432 divisors, whose sum is σ = 15293350800. Its totient is φ = 1199407104.

The previous prime is 4374042613. The next prime is 4374042661. The reversal of 4374042624 is 4262404734.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26191789 + ... + 26191955.

It is an arithmetic number, because the mean of its divisors is an integer number (35401275).

Almost surely, 2^4374042624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646675400).

4374042624 is an abundant number, since it is smaller than the sum of its proper divisors (10919308176).

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

4374042624 is a wasteful number, since it uses less digits than its factorization.

4374042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4374042624 is about 66136.5452983447. The cubic root of 4374042624 is about 1635.4138458052.

The spelling of 4374042624 in words is "four billion, three hundred seventy-four million, forty-two thousand, six hundred twenty-four".