11451440 has 180 divisors, whose sum is σ = 36216432. Its totient is φ = 3294720.

The previous prime is 11451403. The next prime is 11451449. The reversal of 11451440 is 4415411.

11451440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11451440² = 262270956147200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11451449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 880874 + ... + 880886.

Almost surely, 2^11451440 is an apocalyptic number.

11451440 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 11451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108216).

11451440 is an abundant number, since it is smaller than the sum of its proper divisors (24764992).

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

11451440 is a wasteful number, since it uses less digits than its factorization.

11451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 11451440 is about 3383.9976359330. The cubic root of 11451440 is about 225.3997174562.

Adding to 11451440 its reverse (4415411), we get a palindrome (15866851).

The spelling of 11451440 in words is "eleven million, four hundred fifty-one thousand, four hundred forty".