11110400400 has 120 divisors (see below), whose sum is σ = 38825845344. Its totient is φ = 2693427200.

The previous prime is 11110400333. The next prime is 11110400419. The reversal of 11110400400 is 400401111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407649 + ... + 434048.

Almost surely, 2^11110400400 is an apocalyptic number.

11110400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110400400 is an abundant number, since it is smaller than the sum of its proper divisors (27715444944).

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

11110400400 is a wasteful number, since it uses less digits than its factorization.

11110400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841729 (or 841718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11110400400 its reverse (400401111), we get a palindrome (11510801511).

The spelling of 11110400400 in words is "eleven billion, one hundred ten million, four hundred thousand, four hundred".