4294752840 has 768 divisors, whose sum is σ = 18114969600. Its totient is φ = 892809216.

The previous prime is 4294752817. The next prime is 4294752841. The reversal of 4294752840 is 482574924.

4294752840 is a `hidden beast` number, since 42 + 9 + 47 + 528 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4294752841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54363921 + ... + 54363999.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^4294752840 is an apocalyptic number.

4294752840 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 4294752840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4294752840 is an abundant number, since it is smaller than the sum of its proper divisors (13820216760).

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

4294752840 is a wasteful number, since it uses less digits than its factorization.

4294752840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4294752840 is about 65534.3638101416. The cubic root of 4294752840 is about 1625.4716220039.

The spelling of 4294752840 in words is "four billion, two hundred ninety-four million, seven hundred fifty-two thousand, eight hundred forty".