40847664000 has 768 divisors, whose sum is σ = 160584540480. Its totient is φ = 9123840000.

The previous prime is 40847663921. The next prime is 40847664001. The reversal of 40847664000 is 46674804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 40847664000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40847664001) 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, 75503730 + ... + 75504270.

Almost surely, 2^40847664000 is an apocalyptic number.

40847664000 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 40847664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80292270240).

40847664000 is an abundant number, since it is smaller than the sum of its proper divisors (119736876480).

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

40847664000 is a wasteful number, since it uses less digits than its factorization.

40847664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 40847664000 in words is "forty billion, eight hundred forty-seven million, six hundred sixty-four thousand".