1378344243600 has 300 divisors, whose sum is σ = 4958621846640. Its totient is φ = 366677625600.

The previous prime is 1378344243559. The next prime is 1378344243607. The reversal of 1378344243600 is 63424438731.

1378344243600 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 34 + 4 + 2 + 4 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1378344243600² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1378344243607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13524835 + ... + 13626365.

Almost surely, 2^{1378344243600} is an apocalyptic number.

1378344243600 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 1378344243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479310923320).

1378344243600 is an abundant number, since it is smaller than the sum of its proper divisors (3580277603040).

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

1378344243600 is a wasteful number, since it uses less digits than its factorization.

1378344243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101980 (or 101960 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1378344243600 in words is "one trillion, three hundred seventy-eight billion, three hundred forty-four million, two hundred forty-three thousand, six hundred".