424817249640 has 256 divisors, whose sum is σ = 1476370368000. Its totient is φ = 95785390080.

The previous prime is 424817249639. The next prime is 424817249641. The reversal of 424817249640 is 46942718424.

It is an interprime number because it is at equal distance from previous prime (424817249639) and next prime (424817249641).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (424817249641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20957110 + ... + 20977370.

It is an arithmetic number, because the mean of its divisors is an integer number (5767071750).

Almost surely, 2^424817249640 is an apocalyptic number.

424817249640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424817249640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738185184000).

424817249640 is an abundant number, since it is smaller than the sum of its proper divisors (1051553118360).

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

424817249640 is a wasteful number, since it uses less digits than its factorization.

424817249640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620 (or 20616 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 424817249640 in words is "four hundred twenty-four billion, eight hundred seventeen million, two hundred forty-nine thousand, six hundred forty".