1516743040 has 64 divisors (see below), whose sum is σ = 3685500720. Its totient is φ = 596736000.

The previous prime is 1516743037. The next prime is 1516743047. The reversal of 1516743040 is 403476151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1516742993 and 1516743011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516743047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19615 + ... + 58465.

Almost surely, 2^1516743040 is an apocalyptic number.

1516743040 is a gapful number since it is divisible by the number (10) 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 1516743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842750360).

1516743040 is an abundant number, since it is smaller than the sum of its proper divisors (2168757680).

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

1516743040 is an equidigital number, since it uses as much as digits as its factorization.

1516743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38931 (or 38919 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1516743040 is about 38945.3853492298. The cubic root of 1516743040 is about 1148.9576036286.

The spelling of 1516743040 in words is "one billion, five hundred sixteen million, seven hundred forty-three thousand, forty".