12434826240 has 352 divisors, whose sum is σ = 44486386560. Its totient is φ = 3293872128.

The previous prime is 12434826233. The next prime is 12434826251. The reversal of 12434826240 is 4262843421.

12434826240 is a `hidden beast` number, since 1 + 24 + 3 + 4 + 8 + 2 + 624 + 0 = 666.

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 = 12434826195 and 12434826204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40504167 + ... + 40504473.

It is an arithmetic number, because the mean of its divisors is an integer number (126381780).

Almost surely, 2^12434826240 is an apocalyptic number.

12434826240 is a gapful number since it is divisible by the number (10) 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 12434826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243193280).

12434826240 is an abundant number, since it is smaller than the sum of its proper divisors (32051560320).

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

12434826240 is a wasteful number, since it uses less digits than its factorization.

12434826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

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

The spelling of 12434826240 in words is "twelve billion, four hundred thirty-four million, eight hundred twenty-six thousand, two hundred forty".