1144158491840 has 448 divisors, whose sum is σ = 3385767168000. Its totient is φ = 358618005504.

The previous prime is 1144158491831. The next prime is 1144158491851. The reversal of 1144158491840 is 481948514411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2010823076 + ... + 2010823644.

It is an arithmetic number, because the mean of its divisors is an integer number (7557516000).

Almost surely, 2^{1144158491840} is an apocalyptic number.

1144158491840 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 1144158491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692883584000).

1144158491840 is an abundant number, since it is smaller than the sum of its proper divisors (2241608676160).

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

1144158491840 is a wasteful number, since it uses less digits than its factorization.

1144158491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 50.

The spelling of 1144158491840 in words is "one trillion, one hundred forty-four billion, one hundred fifty-eight million, four hundred ninety-one thousand, eight hundred forty".