1011000011400 has 144 divisors (see below), whose sum is σ = 3395825175600. Its totient is φ = 269556320640.

The previous prime is 1011000011377. The next prime is 1011000011401. The reversal of 1011000011400 is 41100001101.

1011000011400 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 (9).

It is not an unprimeable number, because it can be changed into a prime (1011000011401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11944027 + ... + 12028373.

It is an arithmetic number, because the mean of its divisors is an integer number (23582119275).

Almost surely, 2^{1011000011400} is an apocalyptic number.

1011000011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000011400 is an abundant number, since it is smaller than the sum of its proper divisors (2384825164200).

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

1011000011400 is a wasteful number, since it uses less digits than its factorization.

1011000011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91028 (or 91016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011000011400 its reverse (41100001101), we get a palindrome (1052100012501).

The spelling of 1011000011400 in words is "one trillion, eleven billion, eleven thousand, four hundred".