11415479040 has 864 divisors, whose sum is σ = 48212236800. Its totient is φ = 2584866816.

The previous prime is 11415478999. The next prime is 11415479063. The reversal of 11415479040 is 4097451411.

11415479040 is a `hidden beast` number, since 1 + 141 + 5 + 479 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 11415478986 and 11415479004.

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, 106686667 + ... + 106686773.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^11415479040 is an apocalyptic number.

11415479040 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 11415479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106118400).

11415479040 is an abundant number, since it is smaller than the sum of its proper divisors (36796757760).

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

11415479040 is an frugal number, since it uses more digits than its factorization.

11415479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11415479040 in words is "eleven billion, four hundred fifteen million, four hundred seventy-nine thousand, forty".