41225333553040 has 640 divisors, whose sum is σ = 121874949504000. Its totient is φ = 12621396049920.

The previous prime is 41225333553007. The next prime is 41225333553067. The reversal of 41225333553040 is 4035533352214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41225333552984 and 41225333553002.

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, 19076969560 + ... + 19076971720.

It is an arithmetic number, because the mean of its divisors is an integer number (190429608600).

Almost surely, 2^{41225333553040} is an apocalyptic number.

41225333553040 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 41225333553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60937474752000).

41225333553040 is an abundant number, since it is smaller than the sum of its proper divisors (80649615950960).

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

41225333553040 is a wasteful number, since it uses less digits than its factorization.

41225333553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 41225333553040 in words is "forty-one trillion, two hundred twenty-five billion, three hundred thirty-three million, five hundred fifty-three thousand, forty".