1540434000041 has 8 divisors (see below), whose sum is σ = 1561693840680. Its totient is φ = 1519178429952.

The previous prime is 1540434000031. The next prime is 1540434000043. The reversal of 1540434000041 is 1400004340451.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1047881641 + 1539386118400 = 32371^2 + 1240720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-1540434000041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1540434000043) 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 7 ways as a sum of consecutive naturals, for example, 337820 + ... + 1787453.

It is an arithmetic number, because the mean of its divisors is an integer number (195211730085).

Almost surely, 2^{1540434000041} is an apocalyptic number.

It is an amenable number.

1540434000041 is a deficient number, since it is larger than the sum of its proper divisors (21259840639).

1540434000041 is an equidigital number, since it uses as much as digits as its factorization.

1540434000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135275.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 1540434000041 its reverse (1400004340451), we get a palindrome (2940438340492).

The spelling of 1540434000041 in words is "one trillion, five hundred forty billion, four hundred thirty-four million, forty-one", and thus it is an aban number.