40016493468 has 432 divisors, whose sum is σ = 125882265600. Its totient is φ = 10670849280.

The previous prime is 40016493463. The next prime is 40016493469. The reversal of 40016493468 is 86439461004.

40016493468 is a `hidden beast` number, since 40 + 0 + 1 + 64 + 93 + 468 = 666.

40016493468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40016493463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254882046 + ... + 254882202.

Almost surely, 2^40016493468 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 40016493468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62941132800).

40016493468 is an abundant number, since it is smaller than the sum of its proper divisors (85865772132).

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

40016493468 is a wasteful number, since it uses less digits than its factorization.

40016493468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40016493468 in words is "forty billion, sixteen million, four hundred ninety-three thousand, four hundred sixty-eight".