11451891040 has 144 divisors (see below), whose sum is σ = 28376762400. Its totient is φ = 4366387200.

The previous prime is 11451891013. The next prime is 11451891041. The reversal of 11451891040 is 4019815411.

It is a super-2 number, since 2×11451891040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11451890987 and 11451891005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451891041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10916436 + ... + 10917484.

It is an arithmetic number, because the mean of its divisors is an integer number (197060850).

Almost surely, 2^11451891040 is an apocalyptic number.

11451891040 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 11451891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188381200).

11451891040 is an abundant number, since it is smaller than the sum of its proper divisors (16924871360).

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

11451891040 is a wasteful number, since it uses less digits than its factorization.

11451891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 11451891040 in words is "eleven billion, four hundred fifty-one million, eight hundred ninety-one thousand, forty".