41207386746240 has 3072 divisors, whose sum is σ = 182174323968000. Its totient is φ = 8668245196800.

The previous prime is 41207386746221. The next prime is 41207386746241. The reversal of 41207386746240 is 4264768370214.

41207386746240 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 7 + 3 + 8 + 6 + 7 + 4 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41207386746241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132499635685 + ... + 132499635995.

It is an arithmetic number, because the mean of its divisors is an integer number (59301537750).

Almost surely, 2^{41207386746240} is an apocalyptic number.

41207386746240 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 41207386746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91087161984000).

41207386746240 is an abundant number, since it is smaller than the sum of its proper divisors (140966937221760).

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

41207386746240 is a wasteful number, since it uses less digits than its factorization.

41207386746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 41207386746240 in words is "forty-one trillion, two hundred seven billion, three hundred eighty-six million, seven hundred forty-six thousand, two hundred forty".