40120926995520 has 672 divisors, whose sum is σ = 167929238131200. Its totient is φ = 8771775344640.

The previous prime is 40120926995417. The next prime is 40120926995621. The reversal of 40120926995520 is 2559962902104.

40120926995520 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 0 + 9 + 26 + 9 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 21837390 + ... + 23603250.

It is an arithmetic number, because the mean of its divisors is an integer number (249894699600).

Almost surely, 2^{40120926995520} is an apocalyptic number.

40120926995520 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 40120926995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83964619065600).

40120926995520 is an abundant number, since it is smaller than the sum of its proper divisors (127808311135680).

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

40120926995520 is a wasteful number, since it uses less digits than its factorization.

40120926995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765928 (or 1765901 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 40120926995520 in words is "forty trillion, one hundred twenty billion, nine hundred twenty-six million, nine hundred ninety-five thousand, five hundred twenty".