11390077440 has 1200 divisors, whose sum is σ = 50800543200. Its totient is φ = 2424619008.

The previous prime is 11390077399. The next prime is 11390077453. The reversal of 11390077440 is 4477009311.

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 = 11390077395 and 11390077404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193052131 + ... + 193052189.

It is an arithmetic number, because the mean of its divisors is an integer number (42333786).

Almost surely, 2^11390077440 is an apocalyptic number.

11390077440 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 11390077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25400271600).

11390077440 is an abundant number, since it is smaller than the sum of its proper divisors (39410465760).

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

11390077440 is an equidigital number, since it uses as much as digits as its factorization.

11390077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11390077440 in words is "eleven billion, three hundred ninety million, seventy-seven thousand, four hundred forty".