41421319920000 has 800 divisors, whose sum is σ = 154162592272920. Its totient is φ = 11036694528000.

The previous prime is 41421319919999. The next prime is 41421319920031. The reversal of 41421319920000 is 2991312414.

41421319920000 is a `hidden beast` number, since 41 + 421 + 3 + 199 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 12875758392 + ... + 12875761608.

Almost surely, 2^{41421319920000} is an apocalyptic number.

41421319920000 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 41421319920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77081296136460).

41421319920000 is an abundant number, since it is smaller than the sum of its proper divisors (112741272352920).

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

41421319920000 is an equidigital number, since it uses as much as digits as its factorization.

41421319920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 41421319920000 in words is "forty-one trillion, four hundred twenty-one billion, three hundred nineteen million, nine hundred twenty thousand".