1516069440 has 224 divisors, whose sum is σ = 5378866560. Its totient is φ = 401983488.

The previous prime is 1516069433. The next prime is 1516069481. The reversal of 1516069440 is 449606151.

1516069440 is a `hidden beast` number, since 1 + 5 + 1 + 606 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1516069395 and 1516069404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960894 + ... + 1961666.

Almost surely, 2^1516069440 is an apocalyptic number.

1516069440 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 1516069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689433280).

1516069440 is an abundant number, since it is smaller than the sum of its proper divisors (3862797120).

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

1516069440 is a wasteful number, since it uses less digits than its factorization.

1516069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1516069440 is about 38936.7363809552. The cubic root of 1516069440 is about 1148.7874907792.

The spelling of 1516069440 in words is "one billion, five hundred sixteen million, sixty-nine thousand, four hundred forty".