40512136960 has 288 divisors, whose sum is σ = 108835151040. Its totient is φ = 14373617664.

The previous prime is 40512136879. The next prime is 40512136963. The reversal of 40512136960 is 6963121504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40512136963) 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, 27133974 + ... + 27135466.

It is an arithmetic number, because the mean of its divisors is an integer number (377899830).

Almost surely, 2^40512136960 is an apocalyptic number.

40512136960 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 40512136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54417575520).

40512136960 is an abundant number, since it is smaller than the sum of its proper divisors (68323014080).

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

40512136960 is a wasteful number, since it uses less digits than its factorization.

40512136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 40512136960 in words is "forty billion, five hundred twelve million, one hundred thirty-six thousand, nine hundred sixty".