11025042400 has 144 divisors (see below), whose sum is σ = 27549486720. Its totient is φ = 4307097600.

The previous prime is 11025042389. The next prime is 11025042443. The reversal of 11025042400 is 424052011.

It is a super-3 number, since 3×11025042400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7660881 + ... + 7662319.

It is an arithmetic number, because the mean of its divisors is an integer number (191315880).

Almost surely, 2^11025042400 is an apocalyptic number.

11025042400 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 11025042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774743360).

11025042400 is an abundant number, since it is smaller than the sum of its proper divisors (16524444320).

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

11025042400 is a wasteful number, since it uses less digits than its factorization.

11025042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 11025042400 its reverse (424052011), we get a palindrome (11449094411).

The spelling of 11025042400 in words is "eleven billion, twenty-five million, forty-two thousand, four hundred".