11004412003400 has 192 divisors, whose sum is σ = 26884617310080. Its totient is φ = 4180933785600.

The previous prime is 11004412003379. The next prime is 11004412003463. The reversal of 11004412003400 is 430021440011.

It is a super-2 number, since 2×11004412003400² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1452340412 + ... + 1452347988.

It is an arithmetic number, because the mean of its divisors is an integer number (140024048490).

Almost surely, 2^{11004412003400} is an apocalyptic number.

11004412003400 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 11004412003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442308655040).

11004412003400 is an abundant number, since it is smaller than the sum of its proper divisors (15880205306680).

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

11004412003400 is a wasteful number, since it uses less digits than its factorization.

11004412003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11004412003400 its reverse (430021440011), we get a palindrome (11434433443411).

The spelling of 11004412003400 in words is "eleven trillion, four billion, four hundred twelve million, three thousand, four hundred".