1346535590400 has 1440 divisors, whose sum is σ = 6470657601408. Its totient is φ = 258254438400.

The previous prime is 1346535590399. The next prime is 1346535590459. The reversal of 1346535590400 is 40955356431.

1346535590400 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 53 + 5 + 590 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115309362 + ... + 115321038.

Almost surely, 2^{1346535590400} is an apocalyptic number.

1346535590400 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 1346535590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235328800704).

1346535590400 is an abundant number, since it is smaller than the sum of its proper divisors (5124122011008).

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

1346535590400 is a wasteful number, since it uses less digits than its factorization.

1346535590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1346535590400 in words is "one trillion, three hundred forty-six billion, five hundred thirty-five million, five hundred ninety thousand, four hundred".