354341442000 has 960 divisors, whose sum is σ = 1449673714944. Its totient is φ = 73795276800.

The previous prime is 354341441989. The next prime is 354341442023. The reversal of 354341442000 is 244143453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 317225442 + ... + 317226558.

Almost surely, 2^354341442000 is an apocalyptic number.

354341442000 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 354341442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724836857472).

354341442000 is an abundant number, since it is smaller than the sum of its proper divisors (1095332272944).

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

354341442000 is a wasteful number, since it uses less digits than its factorization.

354341442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 354341442000 its reverse (244143453), we get a palindrome (354585585453).

The spelling of 354341442000 in words is "three hundred fifty-four billion, three hundred forty-one million, four hundred forty-two thousand".