11453130640 has 240 divisors, whose sum is σ = 31772412864. Its totient is φ = 3827174400.

The previous prime is 11453130607. The next prime is 11453130649. The reversal of 11453130640 is 4603135411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11453130599 and 11453130608.

It is not an unprimeable number, because it can be changed into a prime (11453130649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50454207 + ... + 50454433.

Almost surely, 2^11453130640 is an apocalyptic number.

11453130640 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 11453130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886206432).

11453130640 is an abundant number, since it is smaller than the sum of its proper divisors (20319282224).

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

11453130640 is a wasteful number, since it uses less digits than its factorization.

11453130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 11453130640 in words is "eleven billion, four hundred fifty-three million, one hundred thirty thousand, six hundred forty".