4253783040 has 528 divisors, whose sum is σ = 16523515008. Its totient is φ = 1043103744.

The previous prime is 4253782991. The next prime is 4253783059. The reversal of 4253783040 is 403873524.

It is a happy number.

4253783040 is a `hidden beast` number, since 4 + 2 + 537 + 83 + 0 + 40 = 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 = 4253782986 and 4253783004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16173949 + ... + 16174211.

It is an arithmetic number, because the mean of its divisors is an integer number (31294536).

Almost surely, 2^4253783040 is an apocalyptic number.

4253783040 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 4253783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261757504).

4253783040 is an abundant number, since it is smaller than the sum of its proper divisors (12269731968).

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

4253783040 is a wasteful number, since it uses less digits than its factorization.

4253783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4253783040 is about 65221.0321905442. The cubic root of 4253783040 is about 1620.2863691283.

The spelling of 4253783040 in words is "four billion, two hundred fifty-three million, seven hundred eighty-three thousand, forty".