8013414740 has 48 divisors (see below), whose sum is σ = 17409473424. Its totient is φ = 3096192000.

The previous prime is 8013414733. The next prime is 8013414791. The reversal of 8013414740 is 474143108.

It can be written as a sum of positive squares in 8 ways, for example, as 761870404 + 7251544336 = 27602^2 + 85156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8013414697 and 8013414706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34442 + ... + 131198.

It is an arithmetic number, because the mean of its divisors is an integer number (362697363).

Almost surely, 2^8013414740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013414740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704736712).

8013414740 is an abundant number, since it is smaller than the sum of its proper divisors (9396058684).

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

8013414740 is a wasteful number, since it uses less digits than its factorization.

8013414740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96908 (or 96906 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 8013414740 is about 89517.6783657843. The cubic root of 8013414740 is about 2001.1172707368.

Adding to 8013414740 its reverse (474143108), we get a palindrome (8487557848).

The spelling of 8013414740 in words is "eight billion, thirteen million, four hundred fourteen thousand, seven hundred forty".