1101155004000 has 288 divisors, whose sum is σ = 3917121586560. Its totient is φ = 292955904000.

The previous prime is 1101155003999. The next prime is 1101155004067. The reversal of 1101155004000 is 4005511011.

It is a happy number.

1101155004000 is a `hidden beast` number, since 1 + 10 + 115 + 500 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 15480516 + ... + 15551484.

It is an arithmetic number, because the mean of its divisors is an integer number (13601116620).

Almost surely, 2^{1101155004000} is an apocalyptic number.

1101155004000 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 1101155004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958560793280).

1101155004000 is an abundant number, since it is smaller than the sum of its proper divisors (2815966582560).

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

1101155004000 is a wasteful number, since it uses less digits than its factorization.

1101155004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71431 (or 71410 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 110115 and 5004000, that added together give a palindrome (5114115).

The spelling of 1101155004000 in words is "one trillion, one hundred one billion, one hundred fifty-five million, four thousand".