11313469440 has 1152 divisors, whose sum is σ = 51514444800. Its totient is φ = 2229534720.

The previous prime is 11313469423. The next prime is 11313469469. The reversal of 11313469440 is 4496431311.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 11313469395 and 11313469404.

It is a congruent number.

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, 159344605 + ... + 159344675.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^11313469440 is an apocalyptic number.

11313469440 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 11313469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25757222400).

11313469440 is an abundant number, since it is smaller than the sum of its proper divisors (40200975360).

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

11313469440 is a wasteful number, since it uses less digits than its factorization.

11313469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11313469440 in words is "eleven billion, three hundred thirteen million, four hundred sixty-nine thousand, four hundred forty".