434123458518840 has 384 divisors, whose sum is σ = 1444554039398400. Its totient is φ = 104001537249280.

The previous prime is 434123458518833. The next prime is 434123458518859. The reversal of 434123458518840 is 48815854321434.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516497725 + ... + 517337555.

It is an arithmetic number, because the mean of its divisors is an integer number (3761859477600).

Almost surely, 2^{434123458518840} is an apocalyptic number.

434123458518840 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 434123458518840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722277019699200).

434123458518840 is an abundant number, since it is smaller than the sum of its proper divisors (1010430580879560).

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

434123458518840 is a wasteful number, since it uses less digits than its factorization.

434123458518840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840387 (or 840360 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 60.

The spelling of 434123458518840 in words is "four hundred thirty-four trillion, one hundred twenty-three billion, four hundred fifty-eight million, five hundred eighteen thousand, eight hundred forty".