41940721872 has 480 divisors, whose sum is σ = 142314891264. Its totient is φ = 11280384000.

The previous prime is 41940721831. The next prime is 41940721873. The reversal of 41940721872 is 27812704914.

It is a super-2 number, since 2×41940721872² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41940721873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306136588 + ... + 306136724.

Almost surely, 2^41940721872 is an apocalyptic number.

41940721872 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 41940721872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71157445632).

41940721872 is an abundant number, since it is smaller than the sum of its proper divisors (100374169392).

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

41940721872 is a wasteful number, since it uses less digits than its factorization.

41940721872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 41940721872 in words is "forty-one billion, nine hundred forty million, seven hundred twenty-one thousand, eight hundred seventy-two".