2011014400104 has 144 divisors (see below), whose sum is σ = 5800177850220. Its totient is φ = 629330534400.

The previous prime is 2011014400093. The next prime is 2011014400117. The reversal of 2011014400104 is 4010044101102.

2011014400104 is a `hidden beast` number, since 20 + 1 + 101 + 440 + 0 + 104 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1982739977604 + 28274422500 = 1408098^2 + 168150^2 .

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 35 ways as a sum of consecutive naturals, for example, 8223502 + ... + 8464514.

Almost surely, 2^{2011014400104} is an apocalyptic number.

2011014400104 is a gapful number since it is divisible by the number (24) 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 2011014400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900088925110).

2011014400104 is an abundant number, since it is smaller than the sum of its proper divisors (3789163450116).

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

2011014400104 is a wasteful number, since it uses less digits than its factorization.

2011014400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241460 (or 241436 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2011014400104 its reverse (4010044101102), we get a palindrome (6021058501206).

The spelling of 2011014400104 in words is "two trillion, eleven billion, fourteen million, four hundred thousand, one hundred four".