44311113334400 has 384 divisors, whose sum is σ = 121222451534400. Its totient is φ = 15870689280000.

The previous prime is 44311113334399. The next prime is 44311113334441. The reversal of 44311113334400 is 443331111344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686121311 + ... + 686185889.

Almost surely, 2^{44311113334400} is an apocalyptic number.

44311113334400 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 44311113334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60611225767200).

44311113334400 is an abundant number, since it is smaller than the sum of its proper divisors (76911338200000).

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

44311113334400 is a wasteful number, since it uses less digits than its factorization.

44311113334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64908 (or 64891 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 44311113334400 its reverse (443331111344), we get a palindrome (44754444445744).

The spelling of 44311113334400 in words is "forty-four trillion, three hundred eleven billion, one hundred thirteen million, three hundred thirty-four thousand, four hundred".