46438666240 has 104 divisors (see below), whose sum is σ = 111628258560. Its totient is φ = 18543968256.

The previous prime is 46438666237. The next prime is 46438666361. The reversal of 46438666240 is 4266683464.

It is a super-3 number, since 3×46438666240³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14887401 + ... + 14890519.

It is an arithmetic number, because the mean of its divisors is an integer number (1073348640).

Almost surely, 2^46438666240 is an apocalyptic number.

46438666240 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 46438666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814129280).

46438666240 is an abundant number, since it is smaller than the sum of its proper divisors (65189592320).

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

46438666240 is an equidigital number, since it uses as much as digits as its factorization.

46438666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 46438666240 in words is "forty-six billion, four hundred thirty-eight million, six hundred sixty-six thousand, two hundred forty".