434146938914640 has 80 divisors (see below), whose sum is σ = 1538120583589248. Its totient is φ = 99233586037248.

The previous prime is 434146938914621. The next prime is 434146938914669. The reversal of 434146938914640 is 46419839641434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129210396807 + ... + 129210400166.

Almost surely, 2^{434146938914640} is an apocalyptic number.

434146938914640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434146938914640 is an abundant number, since it is smaller than the sum of its proper divisors (1103973644674608).

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

434146938914640 is a wasteful number, since it uses less digits than its factorization.

434146938914640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258420796996 (or 258420796990 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 66.

The spelling of 434146938914640 in words is "four hundred thirty-four trillion, one hundred forty-six billion, nine hundred thirty-eight million, nine hundred fourteen thousand, six hundred forty".