41123314131400 has 24 divisors (see below), whose sum is σ = 95611705355970. Its totient is φ = 16449325652480.

The previous prime is 41123314131391. The next prime is 41123314131407. The reversal of 41123314131400 is 413141332114.

It can be written as a sum of positive squares in 3 ways, for example, as 37390852417636 + 3732461713764 = 6114806^2 + 1931958^2 .

It is a super-2 number, since 2×41123314131400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41123314131407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102808285129 + ... + 102808285528.

Almost surely, 2^{41123314131400} is an apocalyptic number.

41123314131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41123314131400 is an abundant number, since it is smaller than the sum of its proper divisors (54488391224570).

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

41123314131400 is a wasteful number, since it uses less digits than its factorization.

41123314131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205616570673 (or 205616570664 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 41123314131400 its reverse (413141332114), we get a palindrome (41536455463514).

The spelling of 41123314131400 in words is "forty-one trillion, one hundred twenty-three billion, three hundred fourteen million, one hundred thirty-one thousand, four hundred".