40405722117120 has 1056 divisors, whose sum is σ = 156030693856128. Its totient is φ = 9989334761472.

The previous prime is 40405722117109. The next prime is 40405722117121. The reversal of 40405722117120 is 2171122750404.

40405722117120 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 572 + 2 + 11 + 71 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40405722117121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417083984 + ... + 1417112496.

Almost surely, 2^{40405722117120} is an apocalyptic number.

40405722117120 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 40405722117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78015346928064).

40405722117120 is an abundant number, since it is smaller than the sum of its proper divisors (115624971739008).

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

40405722117120 is a wasteful number, since it uses less digits than its factorization.

40405722117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28637 (or 28607 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 40405722117120 its reverse (2171122750404), we get a palindrome (42576844867524).

The spelling of 40405722117120 in words is "forty trillion, four hundred five billion, seven hundred twenty-two million, one hundred seventeen thousand, one hundred twenty".