1344560396400 has 480 divisors, whose sum is σ = 5331497304000. Its totient is φ = 319555031040.

The previous prime is 1344560396359. The next prime is 1344560396437. The reversal of 1344560396400 is 46930654431.

1344560396400 is a `hidden beast` number, since 1 + 3 + 44 + 560 + 3 + 9 + 6 + 40 + 0 = 666.

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

It is a congruent number.

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, 3906486 + ... + 4236714.

It is an arithmetic number, because the mean of its divisors is an integer number (11107286050).

Almost surely, 2^{1344560396400} is an apocalyptic number.

1344560396400 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 1344560396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665748652000).

1344560396400 is an abundant number, since it is smaller than the sum of its proper divisors (3986936907600).

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

1344560396400 is a wasteful number, since it uses less digits than its factorization.

1344560396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330298 (or 330281 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1344560396400 in words is "one trillion, three hundred forty-four billion, five hundred sixty million, three hundred ninety-six thousand, four hundred".