1011401440000 has 180 divisors, whose sum is σ = 2883154707664. Its totient is φ = 346765824000.

The previous prime is 1011401439953. The next prime is 1011401440009. The reversal of 1011401440000 is 441041101.

1011401440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1011401440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 668482 + ... + 1571518.

Almost surely, 2^{1011401440000} is an apocalyptic number.

1011401440000 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 1011401440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441577353832).

1011401440000 is an abundant number, since it is smaller than the sum of its proper divisors (1871753267664).

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

1011401440000 is an frugal number, since it uses more digits than its factorization.

1011401440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903080 (or 903051 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1011401440000 its reverse (441041101), we get a palindrome (1011842481101).

The spelling of 1011401440000 in words is "one trillion, eleven billion, four hundred one million, four hundred forty thousand".