41446978437888 has 864 divisors, whose sum is σ = 126741280440320. Its totient is φ = 13010290606080.

The previous prime is 41446978437869. The next prime is 41446978437973. The reversal of 41446978437888 is 88873487964414.

41446978437888 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 6 + 97 + 84 + 378 + 88 = 666.

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, 185860889745 + ... + 185860889967.

Almost surely, 2^{41446978437888} is an apocalyptic number.

41446978437888 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 41446978437888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370640220160).

41446978437888 is an abundant number, since it is smaller than the sum of its proper divisors (85294302002432).

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

41446978437888 is a wasteful number, since it uses less digits than its factorization.

41446978437888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its digits is 8323596288, while the sum is 81.

The spelling of 41446978437888 in words is "forty-one trillion, four hundred forty-six billion, nine hundred seventy-eight million, four hundred thirty-seven thousand, eight hundred eighty-eight".