1354320312000 has 896 divisors, whose sum is σ = 4749098065920. Its totient is φ = 339609600000.

The previous prime is 1354320311959. The next prime is 1354320312029. The reversal of 1354320312000 is 2130234531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5034647866 + ... + 5034648134.

Almost surely, 2^{1354320312000} is an apocalyptic number.

1354320312000 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 1354320312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374549032960).

1354320312000 is an abundant number, since it is smaller than the sum of its proper divisors (3394777753920).

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

1354320312000 is a wasteful number, since it uses less digits than its factorization.

1354320312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1354320312000 its reverse (2130234531), we get a palindrome (1356450546531).

The spelling of 1354320312000 in words is "one trillion, three hundred fifty-four billion, three hundred twenty million, three hundred twelve thousand".