40040044404600 has 192 divisors, whose sum is σ = 125107629206400. Its totient is φ = 10592976683520.

The previous prime is 40040044404583. The next prime is 40040044404617. The reversal of 40040044404600 is 640444004004.

It is an interprime number because it is at equal distance from previous prime (40040044404583) and next prime (40040044404617).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54697806 + ... + 55424994.

It is an arithmetic number, because the mean of its divisors is an integer number (651602235450).

Almost surely, 2^{40040044404600} is an apocalyptic number.

40040044404600 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 40040044404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62553814603200).

40040044404600 is an abundant number, since it is smaller than the sum of its proper divisors (85067584801800).

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

40040044404600 is a wasteful number, since it uses less digits than its factorization.

40040044404600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727934 (or 727925 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 40040044404600 its reverse (640444004004), we get a palindrome (40680488408604).

The spelling of 40040044404600 in words is "forty trillion, forty billion, forty-four million, four hundred four thousand, six hundred".