11332453440 has 672 divisors, whose sum is σ = 46291609728. Its totient is φ = 2341785600.

The previous prime is 11332453439. The next prime is 11332453469. The reversal of 11332453440 is 4435423311.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×11332453440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11332453398 and 11332453407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62610150 + ... + 62610330.

It is an arithmetic number, because the mean of its divisors is an integer number (68886324).

Almost surely, 2^11332453440 is an apocalyptic number.

11332453440 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 11332453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145804864).

11332453440 is an abundant number, since it is smaller than the sum of its proper divisors (34959156288).

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

11332453440 is a wasteful number, since it uses less digits than its factorization.

11332453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 11332453440 its reverse (4435423311), we get a palindrome (15767876751).

The spelling of 11332453440 in words is "eleven billion, three hundred thirty-two million, four hundred fifty-three thousand, four hundred forty".