41387699914848 has 336 divisors, whose sum is σ = 139800664142496. Its totient is φ = 11809723484160.

The previous prime is 41387699914843. The next prime is 41387699914853. The reversal of 41387699914848 is 84841999678314.

41387699914848 is a `hidden beast` number, since 4 + 1 + 387 + 6 + 9 + 99 + 148 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41387699914843) and next prime (41387699914853).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41387699914843) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 126063868 + ... + 126391748.

It is an arithmetic number, because the mean of its divisors is an integer number (416073405186).

Almost surely, 2^{41387699914848} is an apocalyptic number.

41387699914848 is a gapful number since it is divisible by the number (48) 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 41387699914848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69900332071248).

41387699914848 is an abundant number, since it is smaller than the sum of its proper divisors (98412964227648).

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

41387699914848 is an equidigital number, since it uses as much as digits as its factorization.

41387699914848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328689 (or 328666 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 41387699914848 in words is "forty-one trillion, three hundred eighty-seven billion, six hundred ninety-nine million, nine hundred fourteen thousand, eight hundred forty-eight".