4290683040 has 720 divisors, whose sum is σ = 18333799848. Its totient is φ = 910393344.

The previous prime is 4290683017. The next prime is 4290683041. The reversal of 4290683040 is 403860924.

It is a happy number.

4290683040 is a `hidden beast` number, since 4 + 290 + 68 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3958423056 + 332259984 = 62916^2 + 18228^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4290682986 and 4290683004.

It is not an unprimeable number, because it can be changed into a prime (4290683041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58776444 + ... + 58776516.

Almost surely, 2^4290683040 is an apocalyptic number.

4290683040 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 4290683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166899924).

4290683040 is an abundant number, since it is smaller than the sum of its proper divisors (14043116808).

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

4290683040 is a wasteful number, since it uses less digits than its factorization.

4290683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4290683040 is about 65503.3055654446. The cubic root of 4290683040 is about 1624.9580157989.

The spelling of 4290683040 in words is "four billion, two hundred ninety million, six hundred eighty-three thousand, forty".