1154440100000 has 288 divisors, whose sum is σ = 3130064913024. Its totient is φ = 415600000000.

The previous prime is 1154440099979. The next prime is 1154440100057. The reversal of 1154440100000 is 10444511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111094805 + ... + 111105195.

It is an arithmetic number, because the mean of its divisors is an integer number (10868280948).

Almost surely, 2^{1154440100000} is an apocalyptic number.

1154440100000 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 1154440100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565032456512).

1154440100000 is an abundant number, since it is smaller than the sum of its proper divisors (1975624813024).

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

1154440100000 is a wasteful number, since it uses less digits than its factorization.

1154440100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1154440100000 its reverse (10444511), we get a palindrome (1154450544511).

The spelling of 1154440100000 in words is "one trillion, one hundred fifty-four billion, four hundred forty million, one hundred thousand".