4030682040 has 512 divisors, whose sum is σ = 17639424000. Its totient is φ = 793152000.

The previous prime is 4030682039. The next prime is 4030682057. The reversal of 4030682040 is 402860304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4030681995 and 4030682013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1578765 + ... + 1581315.

It is an arithmetic number, because the mean of its divisors is an integer number (34452000).

Almost surely, 2^4030682040 is an apocalyptic number.

4030682040 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 4030682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819712000).

4030682040 is an abundant number, since it is smaller than the sum of its proper divisors (13608741960).

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

4030682040 is a wasteful number, since it uses less digits than its factorization.

4030682040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4030682040 is about 63487.6526578200. The cubic root of 4030682040 is about 1591.4494436829.

The spelling of 4030682040 in words is "four billion, thirty million, six hundred eighty-two thousand, forty".