41995702506240 has 720 divisors, whose sum is σ = 172971124381440. Its totient is φ = 9529937141760.

The previous prime is 41995702506223. The next prime is 41995702506293. The reversal of 41995702506240 is 4260520759914.

It is a happy number.

41995702506240 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 5 + 7 + 0 + 2 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×41995702506240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 100672495 + ... + 101088785.

It is an arithmetic number, because the mean of its divisors is an integer number (240237672752).

Almost surely, 2^{41995702506240} is an apocalyptic number.

41995702506240 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 41995702506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86485562190720).

41995702506240 is an abundant number, since it is smaller than the sum of its proper divisors (130975421875200).

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

41995702506240 is a wasteful number, since it uses less digits than its factorization.

41995702506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416470 (or 416447 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 41995702506240 in words is "forty-one trillion, nine hundred ninety-five billion, seven hundred two million, five hundred six thousand, two hundred forty".