434757603413100 has 72 divisors (see below), whose sum is σ = 1372253090056128. Its totient is φ = 105395782644800.

The previous prime is 434757603413071. The next prime is 434757603413113. The reversal of 434757603413100 is 1314306757434.

It is a happy number.

It is a super-2 number, since 2×434757603413100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434757603413100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65872360854 + ... + 65872367453.

It is an arithmetic number, because the mean of its divisors is an integer number (19059070695224).

Almost surely, 2^{434757603413100} is an apocalyptic number.

It is an amenable number.

434757603413100 is an abundant number, since it is smaller than the sum of its proper divisors (937495486643028).

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

434757603413100 is a wasteful number, since it uses less digits than its factorization.

434757603413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131744728335 (or 131744728328 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 434757603413100 in words is "four hundred thirty-four trillion, seven hundred fifty-seven billion, six hundred three million, four hundred thirteen thousand, one hundred".