40226130576 has 240 divisors, whose sum is σ = 120157809408. Its totient is φ = 13020134400.

The previous prime is 40226130517. The next prime is 40226130583. The reversal of 40226130576 is 67503162204.

40226130576 is a `hidden beast` number, since 4 + 0 + 22 + 61 + 3 + 0 + 576 = 666.

It is a super-2 number, since 2×40226130576² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40226130576.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44155561 + ... + 44156471.

Almost surely, 2^40226130576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40226130576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60078904704).

40226130576 is an abundant number, since it is smaller than the sum of its proper divisors (79931678832).

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

40226130576 is a wasteful number, since it uses less digits than its factorization.

40226130576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40226130576 in words is "forty billion, two hundred twenty-six million, one hundred thirty thousand, five hundred seventy-six".