226876613040 has 1200 divisors, whose sum is σ = 1059052778784. Its totient is φ = 44358451200.

The previous prime is 226876613021. The next prime is 226876613063. The reversal of 226876613040 is 40316678622.

226876613040 is a `hidden beast` number, since 2 + 26 + 8 + 7 + 6 + 613 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59374330 + ... + 59378150.

Almost surely, 2^226876613040 is an apocalyptic number.

226876613040 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 226876613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529526389392).

226876613040 is an abundant number, since it is smaller than the sum of its proper divisors (832176165744).

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

226876613040 is a wasteful number, since it uses less digits than its factorization.

226876613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 226876613040 in words is "two hundred twenty-six billion, eight hundred seventy-six million, six hundred thirteen thousand, forty".