4633415040 has 128 divisors (see below), whose sum is σ = 14835467520. Its totient is φ = 1230018560.

The previous prime is 4633415011. The next prime is 4633415063. The reversal of 4633415040 is 405143364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4633414989 and 4633415007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430525 + ... + 441155.

It is an arithmetic number, because the mean of its divisors is an integer number (115902090).

Almost surely, 2^4633415040 is an apocalyptic number.

4633415040 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 4633415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417733760).

4633415040 is an abundant number, since it is smaller than the sum of its proper divisors (10202052480).

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

4633415040 is a wasteful number, since it uses less digits than its factorization.

4633415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4633415040 is about 68069.1930317967. The cubic root of 4633415040 is about 1667.1207921619.

The spelling of 4633415040 in words is "four billion, six hundred thirty-three million, four hundred fifteen thousand, forty".