1346401012320 has 1440 divisors, whose sum is σ = 6145834818816. Its totient is φ = 274859827200.

The previous prime is 1346401012301. The next prime is 1346401012343. The reversal of 1346401012320 is 232101046431.

It is a happy number.

1346401012320 is a `hidden beast` number, since 1 + 3 + 4 + 640 + 1 + 0 + 12 + 3 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 255918490 + ... + 255923750.

Almost surely, 2^{1346401012320} is an apocalyptic number.

1346401012320 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 1346401012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072917409408).

1346401012320 is an abundant number, since it is smaller than the sum of its proper divisors (4799433806496).

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

1346401012320 is a wasteful number, since it uses less digits than its factorization.

1346401012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1346401012320 its reverse (232101046431), we get a palindrome (1578502058751).

The spelling of 1346401012320 in words is "one trillion, three hundred forty-six billion, four hundred one million, twelve thousand, three hundred twenty".