41534213252000 has 192 divisors, whose sum is σ = 117698061761280. Its totient is φ = 14109655680000.

The previous prime is 41534213251987. The next prime is 41534213252003. The reversal of 41534213252000 is 25231243514.

It is a super-2 number, since 2×41534213252000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (41534213252003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3752426 + ... + 9856425.

It is an arithmetic number, because the mean of its divisors is an integer number (613010738340).

Almost surely, 2^{41534213252000} is an apocalyptic number.

41534213252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41534213252000 is an abundant number, since it is smaller than the sum of its proper divisors (76163848509280).

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

41534213252000 is a wasteful number, since it uses less digits than its factorization.

41534213252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608992 (or 13608974 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 41534213252000 its reverse (25231243514), we get a palindrome (41559444495514).

The spelling of 41534213252000 in words is "forty-one trillion, five hundred thirty-four billion, two hundred thirteen million, two hundred fifty-two thousand".