11002228415640 has 1280 divisors, whose sum is σ = 46506456944640. Its totient is φ = 2266361856000.

The previous prime is 11002228415627. The next prime is 11002228415653. The reversal of 11002228415640 is 4651482220011.

11002228415640 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 2 + 2 + 8 + 4 + 1 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11002228415627) and next prime (11002228415653).

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 = 11002228415595 and 11002228415604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23866005010 + ... + 23866005470.

It is an arithmetic number, because the mean of its divisors is an integer number (36333169488).

Almost surely, 2^{11002228415640} is an apocalyptic number.

11002228415640 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 11002228415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253228472320).

11002228415640 is an abundant number, since it is smaller than the sum of its proper divisors (35504228529000).

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

11002228415640 is a wasteful number, since it uses less digits than its factorization.

11002228415640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11002228415640 in words is "eleven trillion, two billion, two hundred twenty-eight million, four hundred fifteen thousand, six hundred forty".