4034937268224 has 144 divisors (see below), whose sum is σ = 12339148791060. Its totient is φ = 1265862574080.

The previous prime is 4034937268177. The next prime is 4034937268249. The reversal of 4034937268224 is 4228627394304.

4034937268224 is a `hidden beast` number, since 4 + 0 + 3 + 49 + 372 + 6 + 8 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4012938445824 + 21998822400 = 2003232^2 + 148320^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4034937268224² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6125167 + ... + 6751854.

Almost surely, 2^{4034937268224} is an apocalyptic number.

It is an amenable number.

4034937268224 is an abundant number, since it is smaller than the sum of its proper divisors (8304211522836).

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

4034937268224 is a wasteful number, since it uses less digits than its factorization.

4034937268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12877066 (or 12877043 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4034937268224 in words is "four trillion, thirty-four billion, nine hundred thirty-seven million, two hundred sixty-eight thousand, two hundred twenty-four".