41037700249728 has 1024 divisors, whose sum is σ = 158853370368000. Its totient is φ = 10253370396672.

The previous prime is 41037700249697. The next prime is 41037700249771. The reversal of 41037700249728 is 82794200773014.

41037700249728 is a `hidden beast` number, since 4 + 1 + 0 + 377 + 0 + 0 + 249 + 7 + 28 = 666.

It is a super-3 number, since 3×41037700249728³ (a number of 42 digits) contains 333 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483966951 + ... + 484051737.

It is an arithmetic number, because the mean of its divisors is an integer number (155130244500).

Almost surely, 2^{41037700249728} is an apocalyptic number.

41037700249728 is a gapful number since it is divisible by the number (48) 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 41037700249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79426685184000).

41037700249728 is an abundant number, since it is smaller than the sum of its proper divisors (117815670118272).

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

41037700249728 is an equidigital number, since it uses as much as digits as its factorization.

41037700249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84861 (or 84831 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 41037700249728 in words is "forty-one trillion, thirty-seven billion, seven hundred million, two hundred forty-nine thousand, seven hundred twenty-eight".