1344206250400 has 144 divisors (see below), whose sum is σ = 3583746125568. Its totient is φ = 489331584000.

The previous prime is 1344206250397. The next prime is 1344206250421. The reversal of 1344206250400 is 40526024431.

It is a super-2 number, since 2×1344206250400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171816 + ... + 1648615.

It is an arithmetic number, because the mean of its divisors is an integer number (24887125872).

Almost surely, 2^{1344206250400} is an apocalyptic number.

1344206250400 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 1344206250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791873062784).

1344206250400 is an abundant number, since it is smaller than the sum of its proper divisors (2239539875168).

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

1344206250400 is a wasteful number, since it uses less digits than its factorization.

1344206250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820535 (or 1820522 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 1344206250400 in words is "one trillion, three hundred forty-four billion, two hundred six million, two hundred fifty thousand, four hundred".