11452668240 has 160 divisors (see below), whose sum is σ = 38956256640. Its totient is φ = 2765887488.

The previous prime is 11452668233. The next prime is 11452668257. The reversal of 11452668240 is 4286625411.

It is a happy number.

It is a super-3 number, since 3×11452668240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130731 + ... + 199989.

It is an arithmetic number, because the mean of its divisors is an integer number (243476604).

Almost surely, 2^11452668240 is an apocalyptic number.

11452668240 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 11452668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478128320).

11452668240 is an abundant number, since it is smaller than the sum of its proper divisors (27503588400).

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

11452668240 is a wasteful number, since it uses less digits than its factorization.

11452668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69341 (or 69335 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 11452668240 in words is "eleven billion, four hundred fifty-two million, six hundred sixty-eight thousand, two hundred forty".