4040186145792 has 352 divisors, whose sum is σ = 12069688435200. Its totient is φ = 1195322376192.

The previous prime is 4040186145713. The next prime is 4040186145811. The reversal of 4040186145792 is 2975416810404.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 65092309 + ... + 65154347.

It is an arithmetic number, because the mean of its divisors is an integer number (34288887600).

Almost surely, 2^{4040186145792} 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 4040186145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034844217600).

4040186145792 is an abundant number, since it is smaller than the sum of its proper divisors (8029502289408).

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

4040186145792 is a wasteful number, since it uses less digits than its factorization.

4040186145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62151 (or 62133 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 4040186145792 in words is "four trillion, forty billion, one hundred eighty-six million, one hundred forty-five thousand, seven hundred ninety-two".