46444061440 has 288 divisors, whose sum is σ = 134358497280. Its totient is φ = 15043510272.

The previous prime is 46444061423. The next prime is 46444061471. The reversal of 46444061440 is 4416044464.

It is a self number, because there is not a number n which added to its sum of digits gives 46444061440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12210579 + ... + 12214381.

It is an arithmetic number, because the mean of its divisors is an integer number (466522560).

Almost surely, 2^46444061440 is an apocalyptic number.

46444061440 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 46444061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67179248640).

46444061440 is an abundant number, since it is smaller than the sum of its proper divisors (87914435840).

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

46444061440 is a wasteful number, since it uses less digits than its factorization.

46444061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 46444061440 in words is "forty-six billion, four hundred forty-four million, sixty-one thousand, four hundred forty".