41200878410640 has 480 divisors, whose sum is σ = 151683143844960. Its totient is φ = 9960313651200.

The previous prime is 41200878410623. The next prime is 41200878410663. The reversal of 41200878410640 is 4601487800214.

41200878410640 is a `hidden beast` number, since 4 + 120 + 0 + 8 + 78 + 410 + 6 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 31399570875024 + 9801307535616 = 5603532^2 + 3130704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377349976 + ... + 377459144.

It is an arithmetic number, because the mean of its divisors is an integer number (316006549677).

Almost surely, 2^{41200878410640} is an apocalyptic number.

41200878410640 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 41200878410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841571922480).

41200878410640 is an abundant number, since it is smaller than the sum of its proper divisors (110482265434320).

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

41200878410640 is a wasteful number, since it uses less digits than its factorization.

41200878410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109923 (or 109914 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 41200878410640 in words is "forty-one trillion, two hundred billion, eight hundred seventy-eight million, four hundred ten thousand, six hundred forty".