4642120634440 has 32 divisors (see below), whose sum is σ = 10548185015160. Its totient is φ = 1838463616000.

The previous prime is 4642120634399. The next prime is 4642120634449. The reversal of 4642120634440 is 444360212464.

It can be written as a sum of positive squares in 4 ways, for example, as 4543573612356 + 98547022084 = 2131566^2 + 313922^2 .

It is a super-3 number, since 3×4642120634440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4642120634393 and 4642120634402.

It is not an unprimeable number, because it can be changed into a prime (4642120634449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574515841 + ... + 574523920.

Almost surely, 2^{4642120634440} is an apocalyptic number.

4642120634440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4642120634440 is an abundant number, since it is smaller than the sum of its proper divisors (5906064380720).

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

4642120634440 is a wasteful number, since it uses less digits than its factorization.

4642120634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149039873 (or 1149039869 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 4642120634440 in words is "four trillion, six hundred forty-two billion, one hundred twenty million, six hundred thirty-four thousand, four hundred forty".