11171420400 has 240 divisors, whose sum is σ = 42218313728. Its totient is φ = 2471040000.

The previous prime is 11171420389. The next prime is 11171420417. The reversal of 11171420400 is 402417111.

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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238950 + ... + 281850.

Almost surely, 2^11171420400 is an apocalyptic number.

11171420400 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 11171420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109156864).

11171420400 is an abundant number, since it is smaller than the sum of its proper divisors (31046893328).

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

11171420400 is a wasteful number, since it uses less digits than its factorization.

11171420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42960 (or 42949 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 11171420400 its reverse (402417111), we get a palindrome (11573837511).

The spelling of 11171420400 in words is "eleven billion, one hundred seventy-one million, four hundred twenty thousand, four hundred".