1144942318080 has 640 divisors, whose sum is σ = 4490352599040. Its totient is φ = 274202542080.

The previous prime is 1144942318073. The next prime is 1144942318087. The reversal of 1144942318080 is 808132494411.

1144942318080 is a `hidden beast` number, since 1 + 1 + 4 + 49 + 423 + 180 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1144942318073) and next prime (1144942318087).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1144942318080³ (a number of 37 digits) contains 333 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 (1144942318087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63097489 + ... + 63115631.

It is an arithmetic number, because the mean of its divisors is an integer number (7016175936).

Almost surely, 2^{1144942318080} is an apocalyptic number.

1144942318080 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 1144942318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245176299520).

1144942318080 is an abundant number, since it is smaller than the sum of its proper divisors (3345410280960).

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

1144942318080 is a wasteful number, since it uses less digits than its factorization.

1144942318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18269 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1144942318080 in words is "one trillion, one hundred forty-four billion, nine hundred forty-two million, three hundred eighteen thousand, eighty".