41070615840 has 576 divisors, whose sum is σ = 156029328000. Its totient is φ = 10170261504.

The previous prime is 41070615793. The next prime is 41070615841. The reversal of 41070615840 is 4851607014.

It is a happy number.

41070615840 is a `hidden beast` number, since 4 + 1 + 0 + 70 + 6 + 1 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41070615795 and 41070615804.

It is not an unprimeable number, because it can be changed into a prime (41070615841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39151636 + ... + 39152684.

It is an arithmetic number, because the mean of its divisors is an integer number (270884250).

Almost surely, 2^41070615840 is an apocalyptic number.

41070615840 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 41070615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78014664000).

41070615840 is an abundant number, since it is smaller than the sum of its proper divisors (114958712160).

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

41070615840 is a wasteful number, since it uses less digits than its factorization.

41070615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 41070615840 in words is "forty-one billion, seventy million, six hundred fifteen thousand, eight hundred forty".