424828074240 has 1152 divisors, whose sum is σ = 1650871756800. Its totient is φ = 104342224896.

The previous prime is 424828074233. The next prime is 424828074287. The reversal of 424828074240 is 42470828424.

424828074240 is a `hidden beast` number, since 4 + 2 + 482 + 80 + 74 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3759540424 + ... + 3759540536.

It is an arithmetic number, because the mean of its divisors is an integer number (1433048400).

Almost surely, 2^424828074240 is an apocalyptic number.

424828074240 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 424828074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825435878400).

424828074240 is an abundant number, since it is smaller than the sum of its proper divisors (1226043682560).

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

424828074240 is an equidigital number, since it uses as much as digits as its factorization.

424828074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 424828074240 in words is "four hundred twenty-four billion, eight hundred twenty-eight million, seventy-four thousand, two hundred forty".