434734373731840 has 1920 divisors, whose sum is σ = 1450460065114368. Its totient is φ = 123198473502720.

The previous prime is 434734373731831. The next prime is 434734373731871. The reversal of 434734373731840 is 48137373437434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125609467710 + ... + 125609471170.

Almost surely, 2^{434734373731840} is an apocalyptic number.

434734373731840 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 434734373731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725230032557184).

434734373731840 is an abundant number, since it is smaller than the sum of its proper divisors (1015725691382528).

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

434734373731840 is a wasteful number, since it uses less digits than its factorization.

434734373731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 61.

The spelling of 434734373731840 in words is "four hundred thirty-four trillion, seven hundred thirty-four billion, three hundred seventy-three million, seven hundred thirty-one thousand, eight hundred forty".