424864103040 has 640 divisors, whose sum is σ = 1641710624400. Its totient is φ = 104087420928.

The previous prime is 424864103033. The next prime is 424864103093. The reversal of 424864103040 is 40301468424.

424864103040 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 641 + 0 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 315313694784 + 109550408256 = 561528^2 + 330984^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424864102986 and 424864103004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154326304 + ... + 154329056.

Almost surely, 2^424864103040 is an apocalyptic number.

424864103040 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 424864103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820855312200).

424864103040 is an abundant number, since it is smaller than the sum of its proper divisors (1216846521360).

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

424864103040 is a wasteful number, since it uses less digits than its factorization.

424864103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 424864103040 in words is "four hundred twenty-four billion, eight hundred sixty-four million, one hundred three thousand, forty".