4293375840 has 480 divisors, whose sum is σ = 17288964000. Its totient is φ = 994000896.

The previous prime is 4293375829. The next prime is 4293375859. The reversal of 4293375840 is 485733924.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4293375840² = 36866152206991411200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2863411 + ... + 2864909.

It is an arithmetic number, because the mean of its divisors is an integer number (36018675).

Almost surely, 2^4293375840 is an apocalyptic number.

4293375840 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 4293375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644482000).

4293375840 is an abundant number, since it is smaller than the sum of its proper divisors (12995588160).

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

4293375840 is a wasteful number, since it uses less digits than its factorization.

4293375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4293375840 is about 65523.8570293294. The cubic root of 4293375840 is about 1625.2978818016.

The spelling of 4293375840 in words is "four billion, two hundred ninety-three million, three hundred seventy-five thousand, eight hundred forty".