4132494720 has 256 divisors, whose sum is σ = 14697792000. Its totient is φ = 1097349120.

The previous prime is 4132494679. The next prime is 4132494731. The reversal of 4132494720 is 274942314.

It is a super-2 number, since 2×4132494720² = 34155025221655756800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6548805 + ... + 6549435.

It is an arithmetic number, because the mean of its divisors is an integer number (57413250).

Almost surely, 2^4132494720 is an apocalyptic number.

4132494720 is a gapful number since it is divisible by the number (40) 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 4132494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348896000).

4132494720 is an abundant number, since it is smaller than the sum of its proper divisors (10565297280).

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

4132494720 is a wasteful number, since it uses less digits than its factorization.

4132494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4132494720 is about 64284.4827310604. The cubic root of 4132494720 is about 1604.7378731673.

The spelling of 4132494720 in words is "four billion, one hundred thirty-two million, four hundred ninety-four thousand, seven hundred twenty".