11264279040 has 640 divisors, whose sum is σ = 47265546240. Its totient is φ = 2488320000.

The previous prime is 11264279023. The next prime is 11264279057. The reversal of 11264279040 is 4097246211.

It is a happy number.

11264279040 is a `hidden beast` number, since 1 + 1 + 2 + 642 + 7 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11264279023) and next prime (11264279057).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 11264278986 and 11264279004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998665 + ... + 14999415.

It is an arithmetic number, because the mean of its divisors is an integer number (73852416).

Almost surely, 2^11264279040 is an apocalyptic number.

11264279040 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 11264279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23632773120).

11264279040 is an abundant number, since it is smaller than the sum of its proper divisors (36001267200).

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

11264279040 is an equidigital number, since it uses as much as digits as its factorization.

11264279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11264279040 in words is "eleven billion, two hundred sixty-four million, two hundred seventy-nine thousand, forty".