1541429112 has 128 divisors (see below), whose sum is σ = 4300128000. Its totient is φ = 458357760.

The previous prime is 1541429107. The next prime is 1541429137. The reversal of 1541429112 is 2119241451.

It is a super-2 number, since 2×1541429112² = 4752007414642217088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1541429112.

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 31 ways as a sum of consecutive naturals, for example, 540763 + ... + 543605.

It is an arithmetic number, because the mean of its divisors is an integer number (33594750).

Almost surely, 2^1541429112 is an apocalyptic number.

1541429112 is a gapful number since it is divisible by the number (12) 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 1541429112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150064000).

1541429112 is an abundant number, since it is smaller than the sum of its proper divisors (2758698888).

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

1541429112 is a wasteful number, since it uses less digits than its factorization.

1541429112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2937 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 1541429112 is about 39261.0380912171. The cubic root of 1541429112 is about 1155.1574560922.

The spelling of 1541429112 in words is "one billion, five hundred forty-one million, four hundred twenty-nine thousand, one hundred twelve".