1541361408 has 72 divisors (see below), whose sum is σ = 4134832128. Its totient is φ = 509709312.

The previous prime is 1541361407. The next prime is 1541361461. The reversal of 1541361408 is 8041631451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541361401) by changing a digit.

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, 89635 + ... + 105437.

It is an arithmetic number, because the mean of its divisors is an integer number (57428224).

Almost surely, 2^1541361408 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 1541361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067416064).

1541361408 is an abundant number, since it is smaller than the sum of its proper divisors (2593470720).

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

1541361408 is a wasteful number, since it uses less digits than its factorization.

1541361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15935 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1541361408 is about 39260.1758528919. The cubic root of 1541361408 is about 1155.1405432320.

Adding to 1541361408 its reverse (8041631451), we get a palindrome (9582992859).

The spelling of 1541361408 in words is "one billion, five hundred forty-one million, three hundred sixty-one thousand, four hundred eight".