344032141200000 has 1536 divisors, whose sum is σ = 1315639293696000. Its totient is φ = 78771456000000.

The previous prime is 344032141199951. The next prime is 344032141200029. The reversal of 344032141200000 is 2141230443.

It is a super-2 number, since 2×344032141200000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90037198090 + ... + 90037201910.

It is an arithmetic number, because the mean of its divisors is an integer number (856535998500).

Almost surely, 2^{344032141200000} is an apocalyptic number.

344032141200000 is a gapful number since it is divisible by the number (30) 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 344032141200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657819646848000).

344032141200000 is an abundant number, since it is smaller than the sum of its proper divisors (971607152496000).

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

344032141200000 is a wasteful number, since it uses less digits than its factorization.

344032141200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344032141200000 its reverse (2141230443), we get a palindrome (344034282430443).

The spelling of 344032141200000 in words is "three hundred forty-four trillion, thirty-two billion, one hundred forty-one million, two hundred thousand".