41531961240 has 384 divisors, whose sum is σ = 169787404800. Its totient is φ = 8553000960.

The previous prime is 41531961227. The next prime is 41531961257. The reversal of 41531961240 is 4216913514.

It is a happy number.

41531961240 is a `hidden beast` number, since 4 + 1 + 5 + 31 + 9 + 612 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41531961195 and 41531961204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3125731 + ... + 3138989.

It is an arithmetic number, because the mean of its divisors is an integer number (442154700).

Almost surely, 2^41531961240 is an apocalyptic number.

41531961240 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 41531961240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84893702400).

41531961240 is an abundant number, since it is smaller than the sum of its proper divisors (128255443560).

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

41531961240 is a wasteful number, since it uses less digits than its factorization.

41531961240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13400 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 41531961240 in words is "forty-one billion, five hundred thirty-one million, nine hundred sixty-one thousand, two hundred forty".