11144390400 has 1296 divisors, whose sum is σ = 49553182560. Its totient is φ = 2433024000.

The previous prime is 11144390393. The next prime is 11144390419. The reversal of 11144390400 is 409344111.

It is a super-2 number, since 2×11144390400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271814380 + ... + 271814420.

Almost surely, 2^11144390400 is an apocalyptic number.

11144390400 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 11144390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24776591280).

11144390400 is an abundant number, since it is smaller than the sum of its proper divisors (38408792160).

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

11144390400 is a wasteful number, since it uses less digits than its factorization.

11144390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11144390400 in words is "eleven billion, one hundred forty-four million, three hundred ninety thousand, four hundred".