4631165040 has 80 divisors (see below), whose sum is σ = 14392712736. Its totient is φ = 1231872000.

The previous prime is 4631165029. The next prime is 4631165081. The reversal of 4631165040 is 405611364.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 4631164989 and 4631165007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72180 + ... + 120300.

Almost surely, 2^4631165040 is an apocalyptic number.

4631165040 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 4631165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196356368).

4631165040 is an abundant number, since it is smaller than the sum of its proper divisors (9761547696).

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

4631165040 is a wasteful number, since it uses less digits than its factorization.

4631165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48538 (or 48532 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4631165040 is about 68052.6637245009. The cubic root of 4631165040 is about 1666.8508955462.

The spelling of 4631165040 in words is "four billion, six hundred thirty-one million, one hundred sixty-five thousand, forty".