4009420512 has 96 divisors (see below), whose sum is σ = 11724602400. Its totient is φ = 1332993024.

The previous prime is 4009420511. The next prime is 4009420517. The reversal of 4009420512 is 2150249004.

4009420512 is a `hidden beast` number, since 40 + 0 + 94 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009420511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337164 + ... + 348852.

It is an arithmetic number, because the mean of its divisors is an integer number (122131275).

Almost surely, 2^4009420512 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 4009420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862301200).

4009420512 is an abundant number, since it is smaller than the sum of its proper divisors (7715181888).

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

4009420512 is a wasteful number, since it uses less digits than its factorization.

4009420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105 (or 12091 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4009420512 is about 63319.9850915965. The cubic root of 4009420512 is about 1588.6462524986.

Adding to 4009420512 its reverse (2150249004), we get a palindrome (6159669516).

It can be divided in two parts, 40094 and 20512, that added together give a palindrome (60606).

The spelling of 4009420512 in words is "four billion, nine million, four hundred twenty thousand, five hundred twelve".