11014332401000 has 128 divisors (see below), whose sum is σ = 25821812016000. Its totient is φ = 4397488128000.

The previous prime is 11014332400943. The next prime is 11014332401021. The reversal of 11014332401000 is 10423341011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946336171 + ... + 1946341829.

It is an arithmetic number, because the mean of its divisors is an integer number (201732906375).

Almost surely, 2^{11014332401000} is an apocalyptic number.

11014332401000 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 11014332401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910906008000).

11014332401000 is an abundant number, since it is smaller than the sum of its proper divisors (14807479615000).

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

11014332401000 is a wasteful number, since it uses less digits than its factorization.

11014332401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8966 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11014332401000 its reverse (10423341011), we get a palindrome (11024755742011).

The spelling of 11014332401000 in words is "eleven trillion, fourteen billion, three hundred thirty-two million, four hundred one thousand".