11145410400 has 72 divisors (see below), whose sum is σ = 36278318664. Its totient is φ = 2972108800.

The previous prime is 11145410383. The next prime is 11145410407. The reversal of 11145410400 is 401454111.

It is a super-3 number, since 3×11145410400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145410407) 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, 2319561 + ... + 2324360.

It is an arithmetic number, because the mean of its divisors is an integer number (503865537).

Almost surely, 2^11145410400 is an apocalyptic number.

11145410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11145410400 is an abundant number, since it is smaller than the sum of its proper divisors (25132908264).

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

11145410400 is a wasteful number, since it uses less digits than its factorization.

11145410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643944 (or 4643931 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11145410400 its reverse (401454111), we get a palindrome (11546864511).

The spelling of 11145410400 in words is "eleven billion, one hundred forty-five million, four hundred ten thousand, four hundred".