4124463631440 has 40 divisors (see below), whose sum is σ = 12785837258208. Its totient is φ = 1099856968320.

The previous prime is 4124463631439. The next prime is 4124463631441. The reversal of 4124463631440 is 441363644214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4124463631439) and next prime (4124463631441).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×4124463631440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4124463631392 and 4124463631401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124463631441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8592632326 + ... + 8592632805.

Almost surely, 2^{4124463631440} is an apocalyptic number.

4124463631440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4124463631440 is an abundant number, since it is smaller than the sum of its proper divisors (8661373626768).

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

4124463631440 is a wasteful number, since it uses less digits than its factorization.

4124463631440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17185265147 (or 17185265141 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 4124463631440 in words is "four trillion, one hundred twenty-four billion, four hundred sixty-three million, six hundred thirty-one thousand, four hundred forty".