40667576040 has 768 divisors, whose sum is σ = 176117760000. Its totient is φ = 8203244544.

The previous prime is 40667576039. The next prime is 40667576057. The reversal of 40667576040 is 4067576604.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20342961 + ... + 20344959.

It is an arithmetic number, because the mean of its divisors is an integer number (229320000).

Almost surely, 2^40667576040 is an apocalyptic number.

40667576040 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 40667576040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880000).

40667576040 is an abundant number, since it is smaller than the sum of its proper divisors (135450183960).

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

40667576040 is a wasteful number, since it uses less digits than its factorization.

40667576040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 40667576040 in words is "forty billion, six hundred sixty-seven million, five hundred seventy-six thousand, forty".