40027331584512 has 480 divisors, whose sum is σ = 130603617226368. Its totient is φ = 11732249346048.

The previous prime is 40027331584477. The next prime is 40027331584519. The reversal of 40027331584512 is 21548513372004.

40027331584512 is a `hidden beast` number, since 4 + 0 + 0 + 27 + 3 + 31 + 5 + 84 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (40027331584519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77215978 + ... + 77732630.

Almost surely, 2^{40027331584512} 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 40027331584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65301808613184).

40027331584512 is an abundant number, since it is smaller than the sum of its proper divisors (90576285641856).

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

40027331584512 is a wasteful number, since it uses less digits than its factorization.

40027331584512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516760 (or 516741 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40027331584512 in words is "forty trillion, twenty-seven billion, three hundred thirty-one million, five hundred eighty-four thousand, five hundred twelve".