42444333411200 has 384 divisors, whose sum is σ = 128018978284800. Its totient is φ = 13580653363200.

The previous prime is 42444333411191. The next prime is 42444333411211. The reversal of 42444333411200 is 211433344424.

It is a super-3 number, since 3×42444333411200³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 27770960 + ... + 29259440.

It is an arithmetic number, because the mean of its divisors is an integer number (333382755950).

Almost surely, 2^{42444333411200} is an apocalyptic number.

42444333411200 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 42444333411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64009489142400).

42444333411200 is an abundant number, since it is smaller than the sum of its proper divisors (85574644873600).

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

42444333411200 is a wasteful number, since it uses less digits than its factorization.

42444333411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488598 (or 1488581 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 42444333411200 its reverse (211433344424), we get a palindrome (42655766755624).

The spelling of 42444333411200 in words is "forty-two trillion, four hundred forty-four billion, three hundred thirty-three million, four hundred eleven thousand, two hundred".