40786639488 has 384 divisors, whose sum is σ = 139241456640. Its totient is φ = 11214028800.

The previous prime is 40786639441. The next prime is 40786639493. The reversal of 40786639488 is 88493668704.

40786639488 is a `hidden beast` number, since 40 + 7 + 86 + 6 + 39 + 488 = 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 (63).

It is an unprimeable number.

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, 60245806 + ... + 60246482.

It is an arithmetic number, because the mean of its divisors is an integer number (362607960).

Almost surely, 2^40786639488 is an apocalyptic number.

40786639488 is a gapful number since it is divisible by the number (48) 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 40786639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69620728320).

40786639488 is an abundant number, since it is smaller than the sum of its proper divisors (98454817152).

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

40786639488 is a wasteful number, since it uses less digits than its factorization.

40786639488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 40786639488 in words is "forty billion, seven hundred eighty-six million, six hundred thirty-nine thousand, four hundred eighty-eight".