1540843416 has 288 divisors, whose sum is σ = 5368278240. Its totient is φ = 395974656.

The previous prime is 1540843391. The next prime is 1540843417. The reversal of 1540843416 is 6143480451.

1540843416 is a `hidden beast` number, since 1 + 540 + 84 + 34 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540843417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1378890 + ... + 1380006.

It is an arithmetic number, because the mean of its divisors is an integer number (18639855).

Almost surely, 2^1540843416 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 1540843416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684139120).

1540843416 is an abundant number, since it is smaller than the sum of its proper divisors (3827434824).

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

1540843416 is a wasteful number, since it uses less digits than its factorization.

1540843416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1540843416 is about 39253.5783846518. The cubic root of 1540843416 is about 1155.0111293693.

The spelling of 1540843416 in words is "one billion, five hundred forty million, eight hundred forty-three thousand, four hundred sixteen".