44214341400 has 576 divisors, whose sum is σ = 165344551200. Its totient is φ = 10850319360.

The previous prime is 44214341359. The next prime is 44214341401. The reversal of 44214341400 is 414341244.

44214341400 is a `hidden beast` number, since 4 + 4 + 214 + 3 + 41 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44214341401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72127494 + ... + 72128106.

Almost surely, 2^44214341400 is an apocalyptic number.

44214341400 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 44214341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82672275600).

44214341400 is an abundant number, since it is smaller than the sum of its proper divisors (121130209800).

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

44214341400 is a wasteful number, since it uses less digits than its factorization.

44214341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44214341400 its reverse (414341244), we get a palindrome (44628682644).

The spelling of 44214341400 in words is "forty-four billion, two hundred fourteen million, three hundred forty-one thousand, four hundred".