41600456000 has 112 divisors (see below), whose sum is σ = 103455807312. Its totient is φ = 16570368000.

The previous prime is 41600455987. The next prime is 41600456021. The reversal of 41600456000 is 65400614.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3165637696 + 38434818304 = 56264^2 + 196048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917212 + ... + 1938788.

Almost surely, 2^41600456000 is an apocalyptic number.

41600456000 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 41600456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51727903656).

41600456000 is an abundant number, since it is smaller than the sum of its proper divisors (61855351312).

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

41600456000 is a wasteful number, since it uses less digits than its factorization.

41600456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21845 (or 21825 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 41600456000 its reverse (65400614), we get a palindrome (41665856614).

The spelling of 41600456000 in words is "forty-one billion, six hundred million, four hundred fifty-six thousand".