4153718640 has 80 divisors (see below), whose sum is σ = 12933422208. Its totient is φ = 1102764288.

The previous prime is 4153718629. The next prime is 4153718659. The reversal of 4153718640 is 468173514.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16359 + ... + 92601.

Almost surely, 2^4153718640 is an apocalyptic number.

4153718640 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 4153718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466711104).

4153718640 is an abundant number, since it is smaller than the sum of its proper divisors (8779703568).

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

4153718640 is a wasteful number, since it uses less digits than its factorization.

4153718640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76486 (or 76480 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4153718640 is about 64449.3494148700. The cubic root of 4153718640 is about 1607.4804204825.

The spelling of 4153718640 in words is "four billion, one hundred fifty-three million, seven hundred eighteen thousand, six hundred forty".