4023258624 has 960 divisors, whose sum is σ = 16546083840. Its totient is φ = 908328960.

The previous prime is 4023258593. The next prime is 4023258649. The reversal of 4023258624 is 4268523204.

4023258624 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 25 + 8 + 624 = 666.

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 95 ways as a sum of consecutive naturals, for example, 138733042 + ... + 138733070.

It is an arithmetic number, because the mean of its divisors is an integer number (17235504).

Almost surely, 2^4023258624 is an apocalyptic number.

4023258624 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 4023258624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273041920).

4023258624 is an abundant number, since it is smaller than the sum of its proper divisors (12522825216).

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

4023258624 is a wasteful number, since it uses less digits than its factorization.

4023258624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4023258624 is about 63429.1622520746. The cubic root of 4023258624 is about 1590.4718381319.

The spelling of 4023258624 in words is "four billion, twenty-three million, two hundred fifty-eight thousand, six hundred twenty-four".