40187271640 has 128 divisors (see below), whose sum is σ = 99563904000. Its totient is φ = 14530779648.

The previous prime is 40187271581. The next prime is 40187271643. The reversal of 40187271640 is 4617278104.

It is a happy number.

40187271640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 40187271593 and 40187271602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40187271643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7671102 + ... + 7676338.

It is an arithmetic number, because the mean of its divisors is an integer number (777843000).

Almost surely, 2^40187271640 is an apocalyptic number.

40187271640 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 40187271640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49781952000).

40187271640 is an abundant number, since it is smaller than the sum of its proper divisors (59376632360).

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

40187271640 is a wasteful number, since it uses less digits than its factorization.

40187271640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 40187271640 in words is "forty billion, one hundred eighty-seven million, two hundred seventy-one thousand, six hundred forty".