4023472992 has 288 divisors, whose sum is σ = 13721944320. Its totient is φ = 1001656320.

The previous prime is 4023472987. The next prime is 4023472997. The reversal of 4023472992 is 2992743204.

It is an interprime number because it is at equal distance from previous prime (4023472987) and next prime (4023472997).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023472997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29368348 + ... + 29368484.

It is an arithmetic number, because the mean of its divisors is an integer number (47645640).

Almost surely, 2^4023472992 is an apocalyptic number.

4023472992 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 4023472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860972160).

4023472992 is an abundant number, since it is smaller than the sum of its proper divisors (9698471328).

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

4023472992 is a wasteful number, since it uses less digits than its factorization.

4023472992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 4023472992 is about 63430.8520516633. The cubic root of 4023472992 is about 1590.5000855671.

The spelling of 4023472992 in words is "four billion, twenty-three million, four hundred seventy-two thousand, nine hundred ninety-two".