4074642432 has 264 divisors, whose sum is σ = 13731276000. Its totient is φ = 1163280384.

The previous prime is 4074642401. The next prime is 4074642499. The reversal of 4074642432 is 2342464704.

4074642432 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 642 + 4 + 3 + 2 = 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 23 ways as a sum of consecutive naturals, for example, 3160444 + ... + 3161732.

Almost surely, 2^4074642432 is an apocalyptic number.

4074642432 is a gapful number since it is divisible by the number (42) 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 4074642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865638000).

4074642432 is an abundant number, since it is smaller than the sum of its proper divisors (9656633568).

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

4074642432 is a wasteful number, since it uses less digits than its factorization.

4074642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1301 counting only the distinct ones).

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

The square root of 4074642432 is about 63832.9259238522. The cubic root of 4074642432 is about 1597.2142191222.

The spelling of 4074642432 in words is "four billion, seventy-four million, six hundred forty-two thousand, four hundred thirty-two".