41112713400 has 192 divisors, whose sum is σ = 140599929600. Its totient is φ = 9854592000.

The previous prime is 41112713393. The next prime is 41112713407. The reversal of 41112713400 is 431721114.

It is an interprime number because it is at equal distance from previous prime (41112713393) and next prime (41112713407).

It is a super-2 number, since 2×41112713400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41112713407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552405 + ... + 622395.

It is an arithmetic number, because the mean of its divisors is an integer number (732291300).

Almost surely, 2^41112713400 is an apocalyptic number.

41112713400 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 41112713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70299964800).

41112713400 is an abundant number, since it is smaller than the sum of its proper divisors (99487216200).

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

41112713400 is a wasteful number, since it uses less digits than its factorization.

41112713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70110 (or 70101 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 41112713400 in words is "forty-one billion, one hundred twelve million, seven hundred thirteen thousand, four hundred".