1101540440000 has 1680 divisors, whose sum is σ = 3847382793408. Its totient is φ = 304128000000.

The previous prime is 1101540439999. The next prime is 1101540440029. The reversal of 1101540440000 is 440451011.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18058039970 + ... + 18058040030.

Almost surely, 2^{1101540440000} is an apocalyptic number.

1101540440000 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 1101540440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923691396704).

1101540440000 is an abundant number, since it is smaller than the sum of its proper divisors (2745842353408).

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

1101540440000 is a wasteful number, since it uses less digits than its factorization.

1101540440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 140 counting only the distinct ones).

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

Adding to 1101540440000 its reverse (440451011), we get a palindrome (1101980891011).

The spelling of 1101540440000 in words is "one trillion, one hundred one billion, five hundred forty million, four hundred forty thousand".