4132042992 has 360 divisors, whose sum is σ = 14819051520. Its totient is φ = 1062754560.

The previous prime is 4132042987. The next prime is 4132042997. The reversal of 4132042992 is 2992402314.

4132042992 is a `hidden beast` number, since 41 + 320 + 4 + 299 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4132042987) and next prime (4132042997).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132042997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10788433 + ... + 10788815.

It is an arithmetic number, because the mean of its divisors is an integer number (41164032).

Almost surely, 2^4132042992 is an apocalyptic number.

4132042992 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 4132042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

4132042992 is an abundant number, since it is smaller than the sum of its proper divisors (10687008528).

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

4132042992 is a wasteful number, since it uses less digits than its factorization.

4132042992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4132042992 is about 64280.9691277286. The cubic root of 4132042992 is about 1604.6793990901.

The spelling of 4132042992 in words is "four billion, one hundred thirty-two million, forty-two thousand, nine hundred ninety-two".