150041440105000 has 160 divisors (see below), whose sum is σ = 384233642876160. Its totient is φ = 54664053120000.

The previous prime is 150041440104977. The next prime is 150041440105001. The reversal of 150041440105000 is 501044140051.

It is a super-3 number, since 3×150041440105000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (150041440105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25835862 + ... + 31105861.

It is an arithmetic number, because the mean of its divisors is an integer number (2401460267976).

Almost surely, 2^{150041440105000} is an apocalyptic number.

150041440105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150041440105000 is an abundant number, since it is smaller than the sum of its proper divisors (234192202771160).

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

150041440105000 is a wasteful number, since it uses less digits than its factorization.

150041440105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56941797 (or 56941778 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 150041440105000 its reverse (501044140051), we get a palindrome (150542484245051).

The spelling of 150041440105000 in words is "one hundred fifty trillion, forty-one billion, four hundred forty million, one hundred five thousand".