40182540032 has 72 divisors (see below), whose sum is σ = 86489284560. Its totient is φ = 18569502720.

The previous prime is 40182540019. The next prime is 40182540037. The reversal of 40182540032 is 23004528104.

It is a happy number.

It is a super-2 number, since 2×40182540032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40182539977 and 40182540004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40182540037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98678 + ... + 300170.

Almost surely, 2^40182540032 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 40182540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43244642280).

40182540032 is an abundant number, since it is smaller than the sum of its proper divisors (46306744528).

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

40182540032 is a wasteful number, since it uses less digits than its factorization.

40182540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201569 (or 201555 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

It can be divided in two parts, 4018 and 2540032, that multiplied together give a square (10205848576 = 101024²).

The spelling of 40182540032 in words is "forty billion, one hundred eighty-two million, five hundred forty thousand, thirty-two".