11278913040 has 560 divisors, whose sum is σ = 41497187760. Its totient is φ = 2846638080.

The previous prime is 11278913027. The next prime is 11278913059. The reversal of 11278913040 is 4031987211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1746905616 + 9532007424 = 41796^2 + 97632^2 .

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 = 11278912986 and 11278913004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 126729316 + ... + 126729404.

It is an arithmetic number, because the mean of its divisors is an integer number (74102121).

Almost surely, 2^11278913040 is an apocalyptic number.

11278913040 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 11278913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748593880).

11278913040 is an abundant number, since it is smaller than the sum of its proper divisors (30218274720).

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

11278913040 is an equidigital number, since it uses as much as digits as its factorization.

11278913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11278913040 in words is "eleven billion, two hundred seventy-eight million, nine hundred thirteen thousand, forty".