4007414540 has 24 divisors (see below), whose sum is σ = 8416759680. Its totient is φ = 1602739328.

The previous prime is 4007414527. The next prime is 4007414557. The reversal of 4007414540 is 454147004.

It is a happy number.

It is a super-3 number, since 3×4007414540³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273029 + ... + 287331.

It is an arithmetic number, because the mean of its divisors is an integer number (350698320).

Almost surely, 2^4007414540 is an apocalyptic number.

It is an amenable number.

4007414540 is an abundant number, since it is smaller than the sum of its proper divisors (4409345140).

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

4007414540 is a wasteful number, since it uses less digits than its factorization.

4007414540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28321 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 4007414540 is about 63304.1431503500. The cubic root of 4007414540 is about 1588.3812672800.

The spelling of 4007414540 in words is "four billion, seven million, four hundred fourteen thousand, five hundred forty".