1540332416 has 64 divisors (see below), whose sum is σ = 3541937760. Its totient is φ = 653568000.

The previous prime is 1540332407. The next prime is 1540332463. The reversal of 1540332416 is 6142330451.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81986 + ... + 99006.

Almost surely, 2^1540332416 is an apocalyptic number.

1540332416 is a gapful number since it is divisible by the number (16) 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 1540332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770968880).

1540332416 is an abundant number, since it is smaller than the sum of its proper divisors (2001605344).

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

1540332416 is a wasteful number, since it uses less digits than its factorization.

1540332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143 (or 17131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1540332416 is about 39247.0688841855. The cubic root of 1540332416 is about 1154.8834339487.

Adding to 1540332416 its reverse (6142330451), we get a palindrome (7682662867).

The spelling of 1540332416 in words is "one billion, five hundred forty million, three hundred thirty-two thousand, four hundred sixteen".