1354354042400 has 72 divisors (see below), whose sum is σ = 3309847257780. Its totient is φ = 541163151360.

The previous prime is 1354354042367. The next prime is 1354354042423. The reversal of 1354354042400 is 42404534531.

It can be written as a sum of positive squares in 6 ways, for example, as 215173521424 + 1139180520976 = 463868^2 + 1067324^2 .

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, 153785 + ... + 1652984.

Almost surely, 2^{1354354042400} is an apocalyptic number.

1354354042400 is a gapful number since it is divisible by the number (10) 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 1354354042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654923628890).

1354354042400 is an abundant number, since it is smaller than the sum of its proper divisors (1955493215380).

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

1354354042400 is a wasteful number, since it uses less digits than its factorization.

1354354042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807726 (or 1807713 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 1354354042400 its reverse (42404534531), we get a palindrome (1396758576931).

The spelling of 1354354042400 in words is "one trillion, three hundred fifty-four billion, three hundred fifty-four million, forty-two thousand, four hundred".