11451119940 has 288 divisors, whose sum is σ = 39230231040. Its totient is φ = 2682611712.

The previous prime is 11451119893. The next prime is 11451119971. The reversal of 11451119940 is 4991115411.

11451119940 is a `hidden beast` number, since 1 + 1 + 451 + 119 + 94 + 0 = 666.

It is a super-2 number, since 2×11451119940² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11451119895 and 11451119904.

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, 14154256 + ... + 14155064.

It is an arithmetic number, because the mean of its divisors is an integer number (136216080).

Almost surely, 2^11451119940 is an apocalyptic number.

11451119940 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 11451119940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615115520).

11451119940 is an abundant number, since it is smaller than the sum of its proper divisors (27779111100).

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

11451119940 is a wasteful number, since it uses less digits than its factorization.

11451119940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 11451119940 in words is "eleven billion, four hundred fifty-one million, one hundred nineteen thousand, nine hundred forty".