41370202016 has 288 divisors, whose sum is σ = 100474935120. Its totient is φ = 16641884160.

The previous prime is 41370202009. The next prime is 41370202019. The reversal of 41370202016 is 61020207314.

41370202016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31208755600 + 10161446416 = 176660^2 + 100804^2 .

It is a super-2 number, since 2×41370202016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (41370202019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180655790 + ... + 180656018.

Almost surely, 2^41370202016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41370202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50237467560).

41370202016 is an abundant number, since it is smaller than the sum of its proper divisors (59104733104).

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

41370202016 is a wasteful number, since it uses less digits than its factorization.

41370202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 41370202016 in words is "forty-one billion, three hundred seventy million, two hundred two thousand, sixteen".