226781509415040 has 1024 divisors, whose sum is σ = 867886747200000. Its totient is φ = 55761172955136.

The previous prime is 226781509414979. The next prime is 226781509415051. The reversal of 226781509415040 is 40514905187622.

226781509415040 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 8 + 1 + 509 + 41 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2849725971 + ... + 2849805549.

Almost surely, 2^{226781509415040} is an apocalyptic number.

226781509415040 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 226781509415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433943373600000).

226781509415040 is an abundant number, since it is smaller than the sum of its proper divisors (641105237784960).

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

226781509415040 is a wasteful number, since it uses less digits than its factorization.

226781509415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79822 (or 79804 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 226781509415040 in words is "two hundred twenty-six trillion, seven hundred eighty-one billion, five hundred nine million, four hundred fifteen thousand, forty".