1101025440000 has 720 divisors, whose sum is σ = 4087585803840. Its totient is φ = 292239360000.

The previous prime is 1101025439999. The next prime is 1101025440043. The reversal of 1101025440000 is 445201011.

1101025440000 is a `hidden beast` number, since 1 + 1 + 0 + 10 + 254 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1213919547 + ... + 1213920453.

Almost surely, 2^{1101025440000} is an apocalyptic number.

1101025440000 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 1101025440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043792901920).

1101025440000 is an abundant number, since it is smaller than the sum of its proper divisors (2986560363840).

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

1101025440000 is an frugal number, since it uses more digits than its factorization.

1101025440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 1101025440000 in words is "one trillion, one hundred one billion, twenty-five million, four hundred forty thousand".