11402778240 has 720 divisors, whose sum is σ = 48087332370. Its totient is φ = 2567448576.

The previous prime is 11402778239. The next prime is 11402778253. The reversal of 11402778240 is 4287720411.

11402778240 is a `hidden beast` number, since 1 + 1 + 402 + 7 + 7 + 8 + 240 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10262500416 + 1140277824 = 101304^2 + 33768^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 11402778195 and 11402778204.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 170190687 + ... + 170190753.

Almost surely, 2^11402778240 is an apocalyptic number.

11402778240 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 11402778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24043666185).

11402778240 is an abundant number, since it is smaller than the sum of its proper divisors (36684554130).

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

11402778240 is an frugal number, since it uses more digits than its factorization.

11402778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 11402778240 in words is "eleven billion, four hundred two million, seven hundred seventy-eight thousand, two hundred forty".