41400854784 has 243 divisors, whose sum is σ = 124748226057. Its totient is φ = 13712385024.

The previous prime is 41400854779. The next prime is 41400854809. The reversal of 41400854784 is 48745800414.

The square root of 41400854784 is 203472.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12135225600 + 29265629184 = 110160^2 + 171072^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263699634 + ... + 263699790.

Almost surely, 2^41400854784 is an apocalyptic number.

41400854784 is the 203472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41400854784

41400854784 is an abundant number, since it is smaller than the sum of its proper divisors (83347371273).

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

41400854784 is an frugal number, since it uses more digits than its factorization.

41400854784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 41400854784 in words is "forty-one billion, four hundred million, eight hundred fifty-four thousand, seven hundred eighty-four".