434689886942640 has 1280 divisors, whose sum is σ = 1744601389793280. Its totient is φ = 97432409088000.

The previous prime is 434689886942627. The next prime is 434689886942683. The reversal of 434689886942640 is 46249688986434.

434689886942640 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 8 + 98 + 8 + 69 + 426 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 434689886942640.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 237405726525 + ... + 237405728355.

It is an arithmetic number, because the mean of its divisors is an integer number (1362969835776).

Almost surely, 2^{434689886942640} is an apocalyptic number.

434689886942640 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 434689886942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872300694896640).

434689886942640 is an abundant number, since it is smaller than the sum of its proper divisors (1309911502850640).

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

434689886942640 is a wasteful number, since it uses less digits than its factorization.

434689886942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 13759414272, while the sum is 81.

The spelling of 434689886942640 in words is "four hundred thirty-four trillion, six hundred eighty-nine billion, eight hundred eighty-six million, nine hundred forty-two thousand, six hundred forty".