11412401400 has 144 divisors (see below), whose sum is σ = 38607238800. Its totient is φ = 3021027840.

The previous prime is 11412401327. The next prime is 11412401417. The reversal of 11412401400 is 410421411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223461 + ... + 269739.

It is an arithmetic number, because the mean of its divisors is an integer number (268105825).

Almost surely, 2^11412401400 is an apocalyptic number.

11412401400 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 11412401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303619400).

11412401400 is an abundant number, since it is smaller than the sum of its proper divisors (27194837400).

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

11412401400 is a wasteful number, since it uses less digits than its factorization.

11412401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46438 (or 46426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11412401400 its reverse (410421411), we get a palindrome (11822822811).

The spelling of 11412401400 in words is "eleven billion, four hundred twelve million, four hundred one thousand, four hundred".