226208125440 has 1920 divisors, whose sum is σ = 982759599360. Its totient is φ = 49049763840.

The previous prime is 226208125439. The next prime is 226208125453. The reversal of 226208125440 is 44521802622.

226208125440 is a `hidden beast` number, since 2 + 2 + 6 + 208 + 1 + 2 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 226208125395 and 226208125404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5260654059 + ... + 5260654101.

It is an arithmetic number, because the mean of its divisors is an integer number (511853958).

Almost surely, 2^226208125440 is an apocalyptic number.

226208125440 is a gapful number since it is divisible by the number (20) 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 226208125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491379799680).

226208125440 is an abundant number, since it is smaller than the sum of its proper divisors (756551473920).

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

226208125440 is a wasteful number, since it uses less digits than its factorization.

226208125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 226208125440 in words is "two hundred twenty-six billion, two hundred eight million, one hundred twenty-five thousand, four hundred forty".