354412411340130 has 1024 divisors, whose sum is σ = 1136226631680000. Its totient is φ = 77485598023680.

The previous prime is 354412411340081. The next prime is 354412411340147. The reversal of 354412411340130 is 31043114214453.

354412411340130 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 1 + 241 + 1 + 3 + 401 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 117393973761 + ... + 117393976779.

It is an arithmetic number, because the mean of its divisors is an integer number (1109596320000).

Almost surely, 2^{354412411340130} is an apocalyptic number.

354412411340130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354412411340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568113315840000).

354412411340130 is an abundant number, since it is smaller than the sum of its proper divisors (781814220339870).

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

354412411340130 is a wasteful number, since it uses less digits than its factorization.

354412411340130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 354412411340130 its reverse (31043114214453), we get a palindrome (385455525554583).

The spelling of 354412411340130 in words is "three hundred fifty-four trillion, four hundred twelve billion, four hundred eleven million, three hundred forty thousand, one hundred thirty".