4350983040 has 384 divisors, whose sum is σ = 15792023520. Its totient is φ = 1144627200.

The previous prime is 4350983023. The next prime is 4350983053. The reversal of 4350983040 is 403890534.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4350982986 and 4350983004.

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, 15707382 + ... + 15707658.

Almost surely, 2^4350983040 is an apocalyptic number.

4350983040 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 4350983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896011760).

4350983040 is an abundant number, since it is smaller than the sum of its proper divisors (11441040480).

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

4350983040 is a wasteful number, since it uses less digits than its factorization.

4350983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

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

The square root of 4350983040 is about 65961.9817773845. The cubic root of 4350983040 is about 1632.5348592922.

The spelling of 4350983040 in words is "four billion, three hundred fifty million, nine hundred eighty-three thousand, forty".