44234006400 has 576 divisors, whose sum is σ = 167342526000. Its totient is φ = 11094589440.

The previous prime is 44234006363. The next prime is 44234006441. The reversal of 44234006400 is 460043244.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125308624 + ... + 125308976.

Almost surely, 2^44234006400 is an apocalyptic number.

44234006400 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 44234006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83671263000).

44234006400 is an abundant number, since it is smaller than the sum of its proper divisors (123108519600).

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

44234006400 is a wasteful number, since it uses less digits than its factorization.

44234006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44234006400 its reverse (460043244), we get a palindrome (44694049644).

The spelling of 44234006400 in words is "forty-four billion, two hundred thirty-four million, six thousand, four hundred".