41505455504400 has 240 divisors, whose sum is σ = 137570279938560. Its totient is φ = 10684147712000.

The previous prime is 41505455504393. The next prime is 41505455504441. The reversal of 41505455504400 is 440555450514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×41505455504400³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163537600 + ... + 163791200.

It is an arithmetic number, because the mean of its divisors is an integer number (573209499744).

Almost surely, 2^{41505455504400} is an apocalyptic number.

41505455504400 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 41505455504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68785139969280).

41505455504400 is an abundant number, since it is smaller than the sum of its proper divisors (96064824434160).

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

41505455504400 is a wasteful number, since it uses less digits than its factorization.

41505455504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258354 (or 258343 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 42.

The spelling of 41505455504400 in words is "forty-one trillion, five hundred five billion, four hundred fifty-five million, five hundred four thousand, four hundred".