44906400000 has 1512 divisors, whose sum is σ = 209432720448. Its totient is φ = 9331200000.

The previous prime is 44906399987. The next prime is 44906400023. The reversal of 44906400000 is 460944.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4082399995 + ... + 4082400005.

It is an arithmetic number, because the mean of its divisors is an integer number (138513704).

Almost surely, 2^44906400000 is an apocalyptic number.

44906400000 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 44906400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104716360224).

44906400000 is an abundant number, since it is smaller than the sum of its proper divisors (164526320448).

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

44906400000 is an frugal number, since it uses more digits than its factorization.

44906400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 44906400000 its reverse (460944), we get a palindrome (44906860944).

The spelling of 44906400000 in words is "forty-four billion, nine hundred six million, four hundred thousand".