11458919040 has 128 divisors (see below), whose sum is σ = 36656107200. Its totient is φ = 3044769792.

The previous prime is 11458918937. The next prime is 11458919051. The reversal of 11458919040 is 4091985411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11458918983 and 11458919001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532816 + ... + 553904.

Almost surely, 2^11458919040 is an apocalyptic number.

11458919040 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 11458919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328053600).

11458919040 is an abundant number, since it is smaller than the sum of its proper divisors (25197188160).

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

11458919040 is a wasteful number, since it uses less digits than its factorization.

11458919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21394 (or 21382 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 11458919040 in words is "eleven billion, four hundred fifty-eight million, nine hundred nineteen thousand, forty".