41236102149120 has 1408 divisors, whose sum is σ = 153565355704320. Its totient is φ = 10481838981120.

The previous prime is 41236102149103. The next prime is 41236102149131. The reversal of 41236102149120 is 2194120163214.

41236102149120 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 610 + 2 + 14 + 9 + 1 + 20 = 666.

It is a super-2 number, since 2×41236102149120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112359951177 + ... + 112359951543.

Almost surely, 2^{41236102149120} is an apocalyptic number.

41236102149120 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 41236102149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76782677852160).

41236102149120 is an abundant number, since it is smaller than the sum of its proper divisors (112329253555200).

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

41236102149120 is a wasteful number, since it uses less digits than its factorization.

41236102149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41236102149120 in words is "forty-one trillion, two hundred thirty-six billion, one hundred two million, one hundred forty-nine thousand, one hundred twenty".