41034137040 has 480 divisors, whose sum is σ = 154794092544. Its totient is φ = 9672929280.

The previous prime is 41034137033. The next prime is 41034137059. The reversal of 41034137040 is 4073143014.

It is a junction number, because it is equal to n+sod(n) for n = 41034136995 and 41034137013.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29885794 + ... + 29887166.

Almost surely, 2^41034137040 is an apocalyptic number.

41034137040 is a gapful number since it is divisible by the number (40) 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 41034137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77397046272).

41034137040 is an abundant number, since it is smaller than the sum of its proper divisors (113759955504).

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

41034137040 is a wasteful number, since it uses less digits than its factorization.

41034137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 41034137040 in words is "forty-one billion, thirty-four million, one hundred thirty-seven thousand, forty".