40083600468184 has 288 divisors, whose sum is σ = 99426081106800. Its totient is φ = 15013969850880.

The previous prime is 40083600468179. The next prime is 40083600468193. The reversal of 40083600468184 is 48186400638004.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3806242999 + ... + 3806253529.

Almost surely, 2^{40083600468184} 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 40083600468184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49713040553400).

40083600468184 is an abundant number, since it is smaller than the sum of its proper divisors (59342480638616).

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

40083600468184 is a wasteful number, since it uses less digits than its factorization.

40083600468184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 40083600468184 in words is "forty trillion, eighty-three billion, six hundred million, four hundred sixty-eight thousand, one hundred eighty-four".