40132640020 has 96 divisors (see below), whose sum is σ = 92611080576. Its totient is φ = 14487552000.

The previous prime is 40132640011. The next prime is 40132640057. The reversal of 40132640020 is 2004623104.

It is a happy number.

It is a super-2 number, since 2×40132640020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 40132639973 and 40132640000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33415420 + ... + 33416620.

It is an arithmetic number, because the mean of its divisors is an integer number (964698756).

Almost surely, 2^40132640020 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 40132640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46305540288).

40132640020 is an abundant number, since it is smaller than the sum of its proper divisors (52478440556).

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

40132640020 is a wasteful number, since it uses less digits than its factorization.

40132640020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 40132640020 in words is "forty billion, one hundred thirty-two million, six hundred forty thousand, twenty".