40791170784 has 384 divisors, whose sum is σ = 138692736000. Its totient is φ = 10207346688.

The previous prime is 40791170779. The next prime is 40791170807. The reversal of 40791170784 is 48707119704.

It is a happy number.

It is a super-3 number, since 3×40791170784³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14945932 + ... + 14948660.

It is an arithmetic number, because the mean of its divisors is an integer number (361179000).

Almost surely, 2^40791170784 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 40791170784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368000).

40791170784 is an abundant number, since it is smaller than the sum of its proper divisors (97901565216).

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

40791170784 is a wasteful number, since it uses less digits than its factorization.

40791170784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

It can be divided in two parts, 40791 and 170784, that added together give a triangular number (211575 = T₆₅₀).

The spelling of 40791170784 in words is "forty billion, seven hundred ninety-one million, one hundred seventy thousand, seven hundred eighty-four".