40909226651040 has 576 divisors, whose sum is σ = 157869513889920. Its totient is φ = 8842744627200.

The previous prime is 40909226650997. The next prime is 40909226651119. The reversal of 40909226651040 is 4015662290904.

40909226651040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40909226651040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17669500 + ... + 19850180.

It is an arithmetic number, because the mean of its divisors is an integer number (274079017170).

Almost surely, 2^{40909226651040} is an apocalyptic number.

40909226651040 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 40909226651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78934756944960).

40909226651040 is an abundant number, since it is smaller than the sum of its proper divisors (116960287238880).

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

40909226651040 is a wasteful number, since it uses less digits than its factorization.

40909226651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180757 (or 2180738 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 40909226651040 in words is "forty trillion, nine hundred nine billion, two hundred twenty-six million, six hundred fifty-one thousand, forty".