40187676672 has 576 divisors, whose sum is σ = 138802809600. Its totient is φ = 11041505280.

The previous prime is 40187676653. The next prime is 40187676679. The reversal of 40187676672 is 27667678104.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40187676679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208226208 + ... + 208226400.

It is an arithmetic number, because the mean of its divisors is an integer number (240977100).

Almost surely, 2^40187676672 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 40187676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69401404800).

40187676672 is an abundant number, since it is smaller than the sum of its proper divisors (98615132928).

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

40187676672 is a wasteful number, since it uses less digits than its factorization.

40187676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 40187676672 in words is "forty billion, one hundred eighty-seven million, six hundred seventy-six thousand, six hundred seventy-two".