44013041021400 has 384 divisors, whose sum is σ = 152732127018240. Its totient is φ = 10391996416000.

The previous prime is 44013041021311. The next prime is 44013041021437. The reversal of 44013041021400 is 412014031044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160328659 + ... + 160602941.

It is an arithmetic number, because the mean of its divisors is an integer number (397739914110).

Almost surely, 2^{44013041021400} is an apocalyptic number.

44013041021400 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 44013041021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76366063509120).

44013041021400 is an abundant number, since it is smaller than the sum of its proper divisors (108719085996840).

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

44013041021400 is a wasteful number, since it uses less digits than its factorization.

44013041021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274947 (or 274938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44013041021400 its reverse (412014031044), we get a palindrome (44425055052444).

The spelling of 44013041021400 in words is "forty-four trillion, thirteen billion, forty-one million, twenty-one thousand, four hundred".