41855329587456 has 864 divisors, whose sum is σ = 162137976053760. Its totient is φ = 10520791142400.

The previous prime is 41855329587397. The next prime is 41855329587457. The reversal of 41855329587456 is 65478592355814.

It is a happy number.

41855329587456 is a `hidden beast` number, since 4 + 1 + 8 + 5 + 5 + 3 + 2 + 95 + 87 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×41855329587456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (41855329587457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115311405 + ... + 115673811.

Almost surely, 2^{41855329587456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41855329587456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81068988026880).

41855329587456 is an abundant number, since it is smaller than the sum of its proper divisors (120282646466304).

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

41855329587456 is a wasteful number, since it uses less digits than its factorization.

41855329587456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362488 (or 362461 counting only the distinct ones).

The product of its digits is 1451520000, while the sum is 72.

The spelling of 41855329587456 in words is "forty-one trillion, eight hundred fifty-five billion, three hundred twenty-nine million, five hundred eighty-seven thousand, four hundred fifty-six".