11404927440 has 320 divisors, whose sum is σ = 40924166400. Its totient is φ = 2915813376.

The previous prime is 11404927433. The next prime is 11404927447. The reversal of 11404927440 is 4472940411.

It is an interprime number because it is at equal distance from previous prime (11404927433) and next prime (11404927447).

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 = 11404927395 and 11404927404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404927447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10209762 + ... + 10210878.

It is an arithmetic number, because the mean of its divisors is an integer number (127888020).

Almost surely, 2^11404927440 is an apocalyptic number.

11404927440 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 11404927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462083200).

11404927440 is an abundant number, since it is smaller than the sum of its proper divisors (29519238960).

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

11404927440 is a wasteful number, since it uses less digits than its factorization.

11404927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11404927440 in words is "eleven billion, four hundred four million, nine hundred twenty-seven thousand, four hundred forty".