41142138912 has 216 divisors, whose sum is σ = 137967498396. Its totient is φ = 11593580544.

The previous prime is 41142138911. The next prime is 41142138941. The reversal of 41142138912 is 21983124114.

It can be written as a sum of positive squares in 2 ways, for example, as 38999930256 + 2142208656 = 197484^2 + 46284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41142138911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010208 + ... + 1050144.

Almost surely, 2^41142138912 is an apocalyptic number.

41142138912 is a gapful number since it is divisible by the number (42) 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 41142138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68983749198).

41142138912 is an abundant number, since it is smaller than the sum of its proper divisors (96825359484).

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

41142138912 is a wasteful number, since it uses less digits than its factorization.

41142138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40040 (or 40022 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 41142138912 in words is "forty-one billion, one hundred forty-two million, one hundred thirty-eight thousand, nine hundred twelve".