354244144350400 has 84 divisors (see below), whose sum is σ = 871792064664352. Its totient is φ = 141676514012160.

The previous prime is 354244144350391. The next prime is 354244144350463. The reversal of 354244144350400 is 4053441442453.

It is a super-3 number, since 3×354244144350400³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5790387 + ... + 27239986.

Almost surely, 2^{354244144350400} is an apocalyptic number.

It is an amenable number.

354244144350400 is an abundant number, since it is smaller than the sum of its proper divisors (517547920313952).

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

354244144350400 is a wasteful number, since it uses less digits than its factorization.

354244144350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33037098 (or 33037083 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

Adding to 354244144350400 its reverse (4053441442453), we get a palindrome (358297585792853).

The spelling of 354244144350400 in words is "three hundred fifty-four trillion, two hundred forty-four billion, one hundred forty-four million, three hundred fifty thousand, four hundred".