1541245040 has 80 divisors (see below), whose sum is σ = 3814711200. Its totient is φ = 577437696.

The previous prime is 1541245039. The next prime is 1541245061. The reversal of 1541245040 is 405421451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129584 + ... + 140976.

It is an arithmetic number, because the mean of its divisors is an integer number (47683890).

Almost surely, 2^1541245040 is an apocalyptic number.

1541245040 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 1541245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907355600).

1541245040 is an abundant number, since it is smaller than the sum of its proper divisors (2273466160).

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

1541245040 is a wasteful number, since it uses less digits than its factorization.

1541245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 1541245040 is about 39258.6938142369. The cubic root of 1541245040 is about 1155.1114726591. Note that the first 3 decimals are identical.

Adding to 1541245040 its reverse (405421451), we get a palindrome (1946666491).

The spelling of 1541245040 in words is "one billion, five hundred forty-one million, two hundred forty-five thousand, forty".