40065217920 has 1536 divisors, whose sum is σ = 187125120000. Its totient is φ = 7954661376.

The previous prime is 40065217859. The next prime is 40065217921. The reversal of 40065217920 is 2971256004.

40065217920 is a `hidden beast` number, since 40 + 0 + 6 + 521 + 7 + 92 + 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 (40065217921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268894006 + ... + 268894154.

It is an arithmetic number, because the mean of its divisors is an integer number (121826250).

Almost surely, 2^40065217920 is an apocalyptic number.

40065217920 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 40065217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560000).

40065217920 is an abundant number, since it is smaller than the sum of its proper divisors (147059902080).

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

40065217920 is a wasteful number, since it uses less digits than its factorization.

40065217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40065217920 in words is "forty billion, sixty-five million, two hundred seventeen thousand, nine hundred twenty".