1144378368000 has 1792 divisors, whose sum is σ = 4962649236480. Its totient is φ = 257989017600.

The previous prime is 1144378367963. The next prime is 1144378368097. The reversal of 1144378368000 is 8638734411.

It is a tau number, because it is divible by the number of its divisors (1792).

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 127 ways as a sum of consecutive naturals, for example, 15676415964 + ... + 15676416036.

Almost surely, 2^{1144378368000} is an apocalyptic number.

1144378368000 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 1144378368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481324618240).

1144378368000 is an abundant number, since it is smaller than the sum of its proper divisors (3818270868480).

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

1144378368000 is an frugal number, since it uses more digits than its factorization.

1144378368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1144378368000 in words is "one trillion, one hundred forty-four billion, three hundred seventy-eight million, three hundred sixty-eight thousand".