41026061250720 has 1152 divisors, whose sum is σ = 174113936156160. Its totient is φ = 8616859729920.

The previous prime is 41026061250703. The next prime is 41026061250791. The reversal of 41026061250720 is 2705216062014.

It is a happy number.

41026061250720 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 606 + 1 + 25 + 0 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5027083440 + ... + 5027091600.

It is an arithmetic number, because the mean of its divisors is an integer number (151140569580).

Almost surely, 2^{41026061250720} is an apocalyptic number.

41026061250720 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 41026061250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87056968078080).

41026061250720 is an abundant number, since it is smaller than the sum of its proper divisors (133087874905440).

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

41026061250720 is a wasteful number, since it uses less digits than its factorization.

41026061250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41026061250720 in words is "forty-one trillion, twenty-six billion, sixty-one million, two hundred fifty thousand, seven hundred twenty".