11420402240 has 112 divisors (see below), whose sum is σ = 30078682032. Its totient is φ = 4102742016.

The previous prime is 11420402209. The next prime is 11420402251. The reversal of 11420402240 is 4220402411.

It can be written as a sum of positive squares in 8 ways, for example, as 1712635456 + 9707766784 = 41384^2 + 98528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116822 + ... + 191018.

It is an arithmetic number, because the mean of its divisors is an integer number (268559661).

Almost surely, 2^11420402240 is an apocalyptic number.

11420402240 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 11420402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039341016).

11420402240 is an abundant number, since it is smaller than the sum of its proper divisors (18658279792).

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

11420402240 is a wasteful number, since it uses less digits than its factorization.

11420402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74264 (or 74254 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11420402240 its reverse (4220402411), we get a palindrome (15640804651).

The spelling of 11420402240 in words is "eleven billion, four hundred twenty million, four hundred two thousand, two hundred forty".