40226790240 has 960 divisors, whose sum is σ = 182448516096. Its totient is φ = 8112918528.

The previous prime is 40226790211. The next prime is 40226790251. The reversal of 40226790240 is 4209762204.

40226790240 is a `hidden beast` number, since 402 + 2 + 6 + 7 + 9 + 0 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40226790195 and 40226790204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27124539 + ... + 27126021.

Almost surely, 2^40226790240 is an apocalyptic number.

40226790240 is a gapful number since it is divisible by the number (40) 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 40226790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91224258048).

40226790240 is an abundant number, since it is smaller than the sum of its proper divisors (142221725856).

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

40226790240 is a wasteful number, since it uses less digits than its factorization.

40226790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40226790240 in words is "forty billion, two hundred twenty-six million, seven hundred ninety thousand, two hundred forty".