11401430400 has 240 divisors, whose sum is σ = 42074741940. Its totient is φ = 3040312320.

The previous prime is 11401430393. The next prime is 11401430419. The reversal of 11401430400 is 403410411.

It is a tau number, because it is divible by the number of its divisors (240).

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 29 ways as a sum of consecutive naturals, for example, 237207 + ... + 281193.

Almost surely, 2^11401430400 is an apocalyptic number.

11401430400 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 11401430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21037370970).

11401430400 is an abundant number, since it is smaller than the sum of its proper divisors (30673311540).

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

11401430400 is an equidigital number, since it uses as much as digits as its factorization.

11401430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44023 (or 43997 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11401430400 its reverse (403410411), we get a palindrome (11804840811).

The spelling of 11401430400 in words is "eleven billion, four hundred one million, four hundred thirty thousand, four hundred".