41856575040000 has 2400 divisors, whose sum is σ = 180579853149696. Its totient is φ = 9478010880000.

The previous prime is 41856575039989. The next prime is 41856575040019. The reversal of 41856575040000 is 4057565814.

41856575040000 is a `hidden beast` number, since 4 + 1 + 85 + 65 + 7 + 504 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 71305919707 + ... + 71305920293.

Almost surely, 2^{41856575040000} is an apocalyptic number.

41856575040000 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 41856575040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90289926574848).

41856575040000 is an abundant number, since it is smaller than the sum of its proper divisors (138723278109696).

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

41856575040000 is an frugal number, since it uses more digits than its factorization.

41856575040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 41856575040000 in words is "forty-one trillion, eight hundred fifty-six billion, five hundred seventy-five million, forty thousand".