354045332110400 has 168 divisors, whose sum is σ = 995670735583680. Its totient is φ = 121381523159040.

The previous prime is 354045332110387. The next prime is 354045332110403. The reversal of 354045332110400 is 4011233540453.

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

It is not an unprimeable number, because it can be changed into a prime (354045332110403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252903566 + ... + 254299634.

Almost surely, 2^{354045332110400} 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 354045332110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497835367791840).

354045332110400 is an abundant number, since it is smaller than the sum of its proper divisors (641625403473280).

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

354045332110400 is a wasteful number, since it uses less digits than its factorization.

354045332110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418741 (or 1418726 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 354045332110400 its reverse (4011233540453), we get a palindrome (358056565650853).

The spelling of 354045332110400 in words is "three hundred fifty-four trillion, forty-five billion, three hundred thirty-two million, one hundred ten thousand, four hundred".