1154001440000 has 90 divisors (see below), whose sum is σ = 2878447828410. Its totient is φ = 461600512000.

The previous prime is 1154001439991. The next prime is 1154001440021. The reversal of 1154001440000 is 441004511.

It can be written as a sum of positive squares in 5 ways, for example, as 632393933824 + 521607506176 = 795232^2 + 722224^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3446255 + ... + 3766254.

It is an arithmetic number, because the mean of its divisors is an integer number (31982753649).

Almost surely, 2^{1154001440000} is an apocalyptic number.

1154001440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1154001440000 is an abundant number, since it is smaller than the sum of its proper divisors (1724446388410).

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

1154001440000 is an frugal number, since it uses more digits than its factorization.

1154001440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212545 (or 7212516 counting only the distinct ones).

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

Adding to 1154001440000 its reverse (441004511), we get a palindrome (1154442444511).

The spelling of 1154001440000 in words is "one trillion, one hundred fifty-four billion, one million, four hundred forty thousand".