4156518640 has 80 divisors (see below), whose sum is σ = 9971683200. Its totient is φ = 1610459136.

The previous prime is 4156518593. The next prime is 4156518643. The reversal of 4156518640 is 468156514.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 4156518593 and 4156518602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4156518643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328756 + ... + 341164.

It is an arithmetic number, because the mean of its divisors is an integer number (124646040).

Almost surely, 2^4156518640 is an apocalyptic number.

4156518640 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 4156518640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985841600).

4156518640 is an abundant number, since it is smaller than the sum of its proper divisors (5815164560).

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

4156518640 is a wasteful number, since it uses less digits than its factorization.

4156518640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 4156518640 is about 64471.0682399478. The cubic root of 4156518640 is about 1607.8415373990.

The spelling of 4156518640 in words is "four billion, one hundred fifty-six million, five hundred eighteen thousand, six hundred forty".