40009108574592 has 384 divisors, whose sum is σ = 130495712256000. Its totient is φ = 12146972958720.

The previous prime is 40009108574579. The next prime is 40009108574599. The reversal of 40009108574592 is 29547580190004.

It is a happy number.

40009108574592 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 9 + 10 + 8 + 574 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40009108574599) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15171409 + ... + 17612207.

It is an arithmetic number, because the mean of its divisors is an integer number (339832584000).

Almost surely, 2^{40009108574592} 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 40009108574592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65247856128000).

40009108574592 is an abundant number, since it is smaller than the sum of its proper divisors (90486603681408).

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

40009108574592 is a wasteful number, since it uses less digits than its factorization.

40009108574592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440876 (or 2440852 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 40009108574592 in words is "forty trillion, nine billion, one hundred eight million, five hundred seventy-four thousand, five hundred ninety-two".