41352613120 has 432 divisors, whose sum is σ = 127216949328. Its totient is φ = 12757893120.

The previous prime is 41352613117. The next prime is 41352613163. The reversal of 41352613120 is 2131625314.

It can be written as a sum of positive squares in 8 ways, for example, as 6703024384 + 34649588736 = 81872^2 + 186144^2 .

It is a super-2 number, since 2×41352613120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 33429142 + ... + 33430378.

It is an arithmetic number, because the mean of its divisors is an integer number (294483679).

Almost surely, 2^41352613120 is an apocalyptic number.

41352613120 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 41352613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63608474664).

41352613120 is an abundant number, since it is smaller than the sum of its proper divisors (85864336208).

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

41352613120 is a wasteful number, since it uses less digits than its factorization.

41352613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 41352613120 in words is "forty-one billion, three hundred fifty-two million, six hundred thirteen thousand, one hundred twenty".