4611626040 has 512 divisors, whose sum is σ = 18413568000. Its totient is φ = 897785856.

The previous prime is 4611626039. The next prime is 4611626053. The reversal of 4611626040 is 406261164.

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 = 4611625989 and 4611626007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6239991 + ... + 6240729.

It is an arithmetic number, because the mean of its divisors is an integer number (35964000).

Almost surely, 2^4611626040 is an apocalyptic number.

4611626040 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 4611626040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206784000).

4611626040 is an abundant number, since it is smaller than the sum of its proper divisors (13801941960).

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

4611626040 is a wasteful number, since it uses less digits than its factorization.

4611626040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4611626040 is about 67908.9540487851. The cubic root of 4611626040 is about 1664.5034293685.

The spelling of 4611626040 in words is "four billion, six hundred eleven million, six hundred twenty-six thousand, forty".