354401240142544 has 240 divisors, whose sum is σ = 816122214835200. Its totient is φ = 148621972359168.

The previous prime is 354401240142539. The next prime is 354401240142559. The reversal of 354401240142544 is 445241042104453.

It is a self number, because there is not a number n which added to its sum of digits gives 354401240142544.

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, 11261900442 + ... + 11261931910.

It is an arithmetic number, because the mean of its divisors is an integer number (3400509228480).

Almost surely, 2^{354401240142544} 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 354401240142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408061107417600).

354401240142544 is an abundant number, since it is smaller than the sum of its proper divisors (461720974692656).

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

354401240142544 is a wasteful number, since it uses less digits than its factorization.

354401240142544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33250 (or 33237 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 43.

Adding to 354401240142544 its reverse (445241042104453), we get a palindrome (799642282246997).

The spelling of 354401240142544 in words is "three hundred fifty-four trillion, four hundred one billion, two hundred forty million, one hundred forty-two thousand, five hundred forty-four".