11296499040 has 288 divisors, whose sum is σ = 39661798176. Its totient is φ = 2926264320.

The previous prime is 11296499033. The next prime is 11296499089. The reversal of 11296499040 is 4099469211.

11296499040 is a `hidden beast` number, since 112 + 9 + 6 + 499 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11296499040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14922342 + ... + 14923098.

It is an arithmetic number, because the mean of its divisors is an integer number (137714577).

Almost surely, 2^11296499040 is an apocalyptic number.

11296499040 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 11296499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19830899088).

11296499040 is an abundant number, since it is smaller than the sum of its proper divisors (28365299136).

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

11296499040 is a wasteful number, since it uses less digits than its factorization.

11296499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 11296499040 in words is "eleven billion, two hundred ninety-six million, four hundred ninety-nine thousand, forty".