41213419011072 has 880 divisors, whose sum is σ = 153815767015680. Its totient is φ = 10678542336000.

The previous prime is 41213419011071. The next prime is 41213419011091. The reversal of 41213419011072 is 27011091431214.

41213419011072 is a `hidden beast` number, since 4 + 121 + 3 + 419 + 0 + 110 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213419011071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2676014572 + ... + 2676029972.

It is an arithmetic number, because the mean of its divisors is an integer number (174790644336).

Almost surely, 2^{41213419011072} is an apocalyptic number.

41213419011072 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 41213419011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76907883507840).

41213419011072 is an abundant number, since it is smaller than the sum of its proper divisors (112602348004608).

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

41213419011072 is a wasteful number, since it uses less digits than its factorization.

41213419011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15870 (or 15843 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 41213419011072 in words is "forty-one trillion, two hundred thirteen billion, four hundred nineteen million, eleven thousand, seventy-two".