40186245120 has 832 divisors, whose sum is σ = 156940084224. Its totient is φ = 8587837440.

The previous prime is 40186245119. The next prime is 40186245131. The reversal of 40186245120 is 2154268104.

It is a happy number.

It is a super-2 number, since 2×40186245120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758231014 + ... + 758231066.

Almost surely, 2^40186245120 is an apocalyptic number.

40186245120 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 40186245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78470042112).

40186245120 is an abundant number, since it is smaller than the sum of its proper divisors (116753839104).

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

40186245120 is a wasteful number, since it uses less digits than its factorization.

40186245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 40186245120 in words is "forty billion, one hundred eighty-six million, two hundred forty-five thousand, one hundred twenty".