41012133133400 has 192 divisors, whose sum is σ = 112114449216000. Its totient is φ = 13755115584000.

The previous prime is 41012133133373. The next prime is 41012133133423. The reversal of 41012133133400 is 433133121014.

It is a super-2 number, since 2×41012133133400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 41012133133400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34624151 + ... + 35789049.

It is an arithmetic number, because the mean of its divisors is an integer number (583929423000).

Almost surely, 2^{41012133133400} is an apocalyptic number.

41012133133400 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 41012133133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56057224608000).

41012133133400 is an abundant number, since it is smaller than the sum of its proper divisors (71102316082600).

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

41012133133400 is a wasteful number, since it uses less digits than its factorization.

41012133133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166170 (or 1166161 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 41012133133400 its reverse (433133121014), we get a palindrome (41445266254414).

The spelling of 41012133133400 in words is "forty-one trillion, twelve billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred".