8144491740 has 768 divisors, whose sum is σ = 32080527360. Its totient is φ = 1492992000.

The previous prime is 8144491739. The next prime is 8144491769. The reversal of 8144491740 is 471944418.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8144491692 and 8144491701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111568344 + ... + 111568416.

It is an arithmetic number, because the mean of its divisors is an integer number (41771520).

Almost surely, 2^8144491740 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 8144491740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040263680).

8144491740 is an abundant number, since it is smaller than the sum of its proper divisors (23936035620).

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

8144491740 is a wasteful number, since it uses less digits than its factorization.

8144491740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8144491740 is about 90246.8378393393. The cubic root of 8144491740 is about 2011.9692045108.

The spelling of 8144491740 in words is "eight billion, one hundred forty-four million, four hundred ninety-one thousand, seven hundred forty".