424159504126956 has 72 divisors (see below), whose sum is σ = 1154707681340304. Its totient is φ = 130504823487360.

The previous prime is 424159504126921. The next prime is 424159504126991. The reversal of 424159504126956 is 659621405951424.

It is a happy number.

424159504126956 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 5 + 9 + 504 + 12 + 69 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (424159504126921) and next prime (424159504126991).

It is a super-2 number, since 2×424159504126956² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 424159504126893 and 424159504126902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9554706 + ... + 30653081.

It is an arithmetic number, because the mean of its divisors is an integer number (16037606685282).

Almost surely, 2^{424159504126956} is an apocalyptic number.

It is an amenable number.

424159504126956 is an abundant number, since it is smaller than the sum of its proper divisors (730548177213348).

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

424159504126956 is a wasteful number, since it uses less digits than its factorization.

424159504126956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40230351 (or 40230346 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 424159504126956 in words is "four hundred twenty-four trillion, one hundred fifty-nine billion, five hundred four million, one hundred twenty-six thousand, nine hundred fifty-six".