46440055728 has 640 divisors, whose sum is σ = 163339545600. Its totient is φ = 12463718400.

The previous prime is 46440055693. The next prime is 46440055789. The reversal of 46440055728 is 82755004464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100737418 + ... + 100737878.

It is an arithmetic number, because the mean of its divisors is an integer number (255218040).

Almost surely, 2^46440055728 is an apocalyptic number.

46440055728 is a gapful number since it is divisible by the number (48) 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 46440055728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81669772800).

46440055728 is an abundant number, since it is smaller than the sum of its proper divisors (116899489872).

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

46440055728 is a wasteful number, since it uses less digits than its factorization.

46440055728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 46440055728 in words is "forty-six billion, four hundred forty million, fifty-five thousand, seven hundred twenty-eight".