46004441600 has 240 divisors, whose sum is σ = 129216521280. Its totient is φ = 16091136000.

The previous prime is 46004441579. The next prime is 46004441627. The reversal of 46004441600 is 614440064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3154325 + ... + 3168875.

It is an arithmetic number, because the mean of its divisors is an integer number (538402172).

Almost surely, 2^46004441600 is an apocalyptic number.

46004441600 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 46004441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64608260640).

46004441600 is an abundant number, since it is smaller than the sum of its proper divisors (83212079680).

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

46004441600 is a wasteful number, since it uses less digits than its factorization.

46004441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14611 (or 14590 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 46004441600 its reverse (614440064), we get a palindrome (46618881664).

The spelling of 46004441600 in words is "forty-six billion, four million, four hundred forty-one thousand, six hundred".