434314010240 has 128 divisors (see below), whose sum is σ = 1160298095040. Its totient is φ = 154080256000.

The previous prime is 434314010213. The next prime is 434314010243. The reversal of 434314010240 is 42010413434.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (434314010243) 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, 463706 + ... + 1040985.

Almost surely, 2^434314010240 is an apocalyptic number.

434314010240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434314010240 is an abundant number, since it is smaller than the sum of its proper divisors (725984084800).

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

434314010240 is a wasteful number, since it uses less digits than its factorization.

434314010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504762 (or 1504750 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 434314010240 its reverse (42010413434), we get a palindrome (476324423674).

The spelling of 434314010240 in words is "four hundred thirty-four billion, three hundred fourteen million, ten thousand, two hundred forty".