226051003440 has 120 divisors (see below), whose sum is σ = 776809484880. Its totient is φ = 58878392832.

The previous prime is 226051003429. The next prime is 226051003457. The reversal of 226051003440 is 44300150622.

226051003440 is a `hidden beast` number, since 2 + 2 + 605 + 10 + 0 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×226051003440⁴ (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3619735 + ... + 3681654.

It is an arithmetic number, because the mean of its divisors is an integer number (6473412374).

Almost surely, 2^226051003440 is an apocalyptic number.

226051003440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226051003440 is an abundant number, since it is smaller than the sum of its proper divisors (550758481440).

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

226051003440 is a wasteful number, since it uses less digits than its factorization.

226051003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301451 (or 7301442 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 226051003440 in words is "two hundred twenty-six billion, fifty-one million, three thousand, four hundred forty".