4040146512 has 300 divisors, whose sum is σ = 12545384544. Its totient is φ = 1254718080.

The previous prime is 4040146507. The next prime is 4040146541. The reversal of 4040146512 is 2156410404.

4040146512 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 4 + 651 + 2 = 666.

It is a super-2 number, since 2×4040146512² = 32645567676851532288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48676423 + ... + 48676505.

Almost surely, 2^4040146512 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 4040146512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272692272).

4040146512 is an abundant number, since it is smaller than the sum of its proper divisors (8505238032).

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

4040146512 is a wasteful number, since it uses less digits than its factorization.

4040146512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4040146512 is about 63562.1468485765. The cubic root of 4040146512 is about 1592.6941010935.

Adding to 4040146512 its reverse (2156410404), we get a palindrome (6196556916).

The spelling of 4040146512 in words is "four billion, forty million, one hundred forty-six thousand, five hundred twelve".