40642322324604 has 384 divisors, whose sum is σ = 129519818588160. Its totient is φ = 9576683827200.

The previous prime is 40642322324599. The next prime is 40642322324621.

40642322324604 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4495330324 + ... + 4495339364.

It is an arithmetic number, because the mean of its divisors is an integer number (337291194240).

Almost surely, 2^{40642322324604} is an apocalyptic number.

40642322324604 is a gapful number since it is divisible by the number (44) 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 40642322324604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64759909294080).

40642322324604 is an abundant number, since it is smaller than the sum of its proper divisors (88877496263556).

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

40642322324604 is a wasteful number, since it uses less digits than its factorization.

40642322324604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 4064232 and 2324604, that added together give a palindrome (6388836).

The spelling of 40642322324604 in words is "forty trillion, six hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, six hundred four".