4293512640 has 168 divisors, whose sum is σ = 15277429440. Its totient is φ = 1105434624.

The previous prime is 4293512627. The next prime is 4293512647. The reversal of 4293512640 is 462153924.

It is a happy number.

4293512640 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 5 + 1 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4293512595 and 4293512604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4293512647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57817 + ... + 109223.

It is an arithmetic number, because the mean of its divisors is an integer number (90937080).

Almost surely, 2^4293512640 is an apocalyptic number.

4293512640 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 4293512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638714720).

4293512640 is an abundant number, since it is smaller than the sum of its proper divisors (10983916800).

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

4293512640 is a wasteful number, since it uses less digits than its factorization.

4293512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51459 (or 51446 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4293512640 is about 65524.9009156061. The cubic root of 4293512640 is about 1625.3151439280.

The spelling of 4293512640 in words is "four billion, two hundred ninety-three million, five hundred twelve thousand, six hundred forty".