11032445042400 has 72 divisors (see below), whose sum is σ = 35910608620824. Its totient is φ = 2941985344000.

The previous prime is 11032445042329. The next prime is 11032445042407. The reversal of 11032445042400 is 424054423011.

11032445042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11032445042400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032445042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2298423651 + ... + 2298428450.

It is an arithmetic number, because the mean of its divisors is an integer number (498758453067).

Almost surely, 2^{11032445042400} is an apocalyptic number.

11032445042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11032445042400 is an abundant number, since it is smaller than the sum of its proper divisors (24878163578424).

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

11032445042400 is a wasteful number, since it uses less digits than its factorization.

11032445042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596852124 (or 4596852111 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 11032445042400 its reverse (424054423011), we get a palindrome (11456499465411).

The spelling of 11032445042400 in words is "eleven trillion, thirty-two billion, four hundred forty-five million, forty-two thousand, four hundred".