226870376040 has 640 divisors, whose sum is σ = 954745989120. Its totient is φ = 46941120000.

The previous prime is 226870376023. The next prime is 226870376069. The reversal of 226870376040 is 40673078622.

226870376040 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 7 + 0 + 37 + 604 + 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 159 ways as a sum of consecutive naturals, for example, 62617669 + ... + 62621291.

It is an arithmetic number, because the mean of its divisors is an integer number (1491790608).

Almost surely, 2^226870376040 is an apocalyptic number.

226870376040 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 226870376040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477372994560).

226870376040 is an abundant number, since it is smaller than the sum of its proper divisors (727875613080).

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

226870376040 is a wasteful number, since it uses less digits than its factorization.

226870376040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 226870376040 in words is "two hundred twenty-six billion, eight hundred seventy million, three hundred seventy-six thousand, forty".