1353431424400 has 480 divisors, whose sum is σ = 3839910230016. Its totient is φ = 452935680000.

The previous prime is 1353431424341. The next prime is 1353431424437. The reversal of 1353431424400 is 44241343531.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871494024 + ... + 871495576.

Almost surely, 2^{1353431424400} is an apocalyptic number.

1353431424400 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 1353431424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919955115008).

1353431424400 is an abundant number, since it is smaller than the sum of its proper divisors (2486478805616).

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

1353431424400 is a wasteful number, since it uses less digits than its factorization.

1353431424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 1353431424400 its reverse (44241343531), we get a palindrome (1397672767931).

The spelling of 1353431424400 in words is "one trillion, three hundred fifty-three billion, four hundred thirty-one million, four hundred twenty-four thousand, four hundred".