424616567040 has 864 divisors, whose sum is σ = 1628127236736. Its totient is φ = 105584394240.

The previous prime is 424616566963. The next prime is 424616567041. The reversal of 424616567040 is 40765616424.

424616567040 is a `hidden beast` number, since 4 + 2 + 46 + 1 + 6 + 567 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (424616567041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692685774 + ... + 692686386.

It is an arithmetic number, because the mean of its divisors is an integer number (1884406524).

Almost surely, 2^424616567040 is an apocalyptic number.

424616567040 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 424616567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814063618368).

424616567040 is an abundant number, since it is smaller than the sum of its proper divisors (1203510669696).

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

424616567040 is a wasteful number, since it uses less digits than its factorization.

424616567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 424616567040 in words is "four hundred twenty-four billion, six hundred sixteen million, five hundred sixty-seven thousand, forty".