41005863750400 has 216 divisors, whose sum is σ = 104912129638400. Its totient is φ = 15851701555200.

The previous prime is 41005863750389. The next prime is 41005863750499. The reversal of 41005863750400 is 405736850014.

It is a super-5 number, since 5×41005863750400⁵ (a number of 69 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146477761 + ... + 146757439.

Almost surely, 2^{41005863750400} is an apocalyptic number.

41005863750400 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 41005863750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52456064819200).

41005863750400 is an abundant number, since it is smaller than the sum of its proper divisors (63906265888000).

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

41005863750400 is a wasteful number, since it uses less digits than its factorization.

41005863750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280475 (or 280456 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 41005863750400 in words is "forty-one trillion, five billion, eight hundred sixty-three million, seven hundred fifty thousand, four hundred".