354023044424000 has 448 divisors, whose sum is σ = 1013723945095680. Its totient is φ = 119958747955200.

The previous prime is 354023044423981. The next prime is 354023044424009. The reversal of 354023044424000 is 424440320453.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354023044424009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11298712334 + ... + 11298743666.

It is an arithmetic number, because the mean of its divisors is an integer number (2262776663160).

Almost surely, 2^{354023044424000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354023044424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506861972547840).

354023044424000 is an abundant number, since it is smaller than the sum of its proper divisors (659700900671680).

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

354023044424000 is a wasteful number, since it uses less digits than its factorization.

354023044424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33723 (or 33703 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 354023044424000 its reverse (424440320453), we get a palindrome (354447484744453).

The spelling of 354023044424000 in words is "three hundred fifty-four trillion, twenty-three billion, forty-four million, four hundred twenty-four thousand".