40186387440 has 440 divisors, whose sum is σ = 143921913408. Its totient is φ = 10430415360.

The previous prime is 40186387357. The next prime is 40186387441. The reversal of 40186387440 is 4478368104.

40186387440 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 638 + 7 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×40186387440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40186387441) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 222024150 + ... + 222024330.

Almost surely, 2^40186387440 is an apocalyptic number.

40186387440 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 40186387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71960956704).

40186387440 is an abundant number, since it is smaller than the sum of its proper divisors (103735525968).

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

40186387440 is an equidigital number, since it uses as much as digits as its factorization.

40186387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40186387440 in words is "forty billion, one hundred eighty-six million, three hundred eighty-seven thousand, four hundred forty".