1541325040 has 40 divisors (see below), whose sum is σ = 3610960848. Its totient is φ = 611819520.

The previous prime is 1541325029. The next prime is 1541325041. The reversal of 1541325040 is 405231451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1541324996 and 1541325014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541325041) 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, 63057 + ... + 84016.

Almost surely, 2^1541325040 is an apocalyptic number.

1541325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1541325040 is an abundant number, since it is smaller than the sum of its proper divisors (2069635808).

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

1541325040 is a wasteful number, since it uses less digits than its factorization.

1541325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147217 (or 147211 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1541325040 is about 39259.7126836150. The cubic root of 1541325040 is about 1155.1314580857.

Adding to 1541325040 its reverse (405231451), we get a palindrome (1946556491).

The spelling of 1541325040 in words is "one billion, five hundred forty-one million, three hundred twenty-five thousand, forty".