434000012624640 has 1296 divisors, whose sum is σ = 1893324671784000. Its totient is φ = 89846029025280.

The previous prime is 434000012624603. The next prime is 434000012624663. The reversal of 434000012624640 is 46426210000434.

434000012624640 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 0 + 0 + 0 + 1 + 2 + 6 + 2 + 4 + 640 = 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 = 434000012624595 and 434000012624604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2624668686 + ... + 2624834034.

It is an arithmetic number, because the mean of its divisors is an integer number (1460898666500).

Almost surely, 2^{434000012624640} is an apocalyptic number.

434000012624640 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 434000012624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946662335892000).

434000012624640 is an abundant number, since it is smaller than the sum of its proper divisors (1459324659159360).

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

434000012624640 is a wasteful number, since it uses less digits than its factorization.

434000012624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165674 (or 165646 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 434000012624640 in words is "four hundred thirty-four trillion, twelve million, six hundred twenty-four thousand, six hundred forty".