41770945357440 has 1024 divisors, whose sum is σ = 154886299545600. Its totient is φ = 9498454917120.

The previous prime is 41770945357429. The next prime is 41770945357457. The reversal of 41770945357440 is 4475354907714.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1517329596 + ... + 1517357124.

It is an arithmetic number, because the mean of its divisors is an integer number (151256151900).

Almost surely, 2^{41770945357440} is an apocalyptic number.

41770945357440 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 41770945357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77443149772800).

41770945357440 is an abundant number, since it is smaller than the sum of its proper divisors (113115354188160).

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

41770945357440 is a wasteful number, since it uses less digits than its factorization.

41770945357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27685 (or 27673 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 41770945357440 in words is "forty-one trillion, seven hundred seventy billion, nine hundred forty-five million, three hundred fifty-seven thousand, four hundred forty".