434662563166040 has 64 divisors (see below), whose sum is σ = 1084982052960000. Its totient is φ = 155380145837440.

The previous prime is 434662563166037. The next prime is 434662563166043. The reversal of 434662563166040 is 40661365266434.

It is an interprime number because it is at equal distance from previous prime (434662563166037) and next prime (434662563166043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434662563166043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8371749140 + ... + 8371801059.

It is an arithmetic number, because the mean of its divisors is an integer number (16952844577500).

Almost surely, 2^{434662563166040} is an apocalyptic number.

434662563166040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434662563166040 is an abundant number, since it is smaller than the sum of its proper divisors (650319489793960).

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

434662563166040 is a wasteful number, since it uses less digits than its factorization.

434662563166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16743550280 (or 16743550276 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 56.

The spelling of 434662563166040 in words is "four hundred thirty-four trillion, six hundred sixty-two billion, five hundred sixty-three million, one hundred sixty-six thousand, forty".