41276316856320 has 4992 divisors, whose sum is σ = 198235934668800. Its totient is φ = 8049257349120.

The previous prime is 41276316856283. The next prime is 41276316856351. The reversal of 41276316856320 is 2365861367214.

41276316856320 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 63 + 16 + 8 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1006739435500 + ... + 1006739435540.

Almost surely, 2^{41276316856320} is an apocalyptic number.

41276316856320 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 41276316856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99117967334400).

41276316856320 is an abundant number, since it is smaller than the sum of its proper divisors (156959617812480).

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

41276316856320 is an equidigital number, since it uses as much as digits as its factorization.

41276316856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 41276316856320 in words is "forty-one trillion, two hundred seventy-six billion, three hundred sixteen million, eight hundred fifty-six thousand, three hundred twenty".