44735404120000 has 280 divisors, whose sum is σ = 128132218502640. Its totient is φ = 15310510080000.

The previous prime is 44735404119953. The next prime is 44735404120003. The reversal of 44735404120000 is 2140453744.

It is a super-3 number, since 3×44735404120000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44735404120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4489666 + ... + 10470334.

Almost surely, 2^{44735404120000} is an apocalyptic number.

44735404120000 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 44735404120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64066109251320).

44735404120000 is an abundant number, since it is smaller than the sum of its proper divisors (83396814382640).

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

44735404120000 is a wasteful number, since it uses less digits than its factorization.

44735404120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980729 (or 5980704 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 44735404120000 its reverse (2140453744), we get a palindrome (44737544573744).

The spelling of 44735404120000 in words is "forty-four trillion, seven hundred thirty-five billion, four hundred four million, one hundred twenty thousand".