434131072101507 has 32 divisors (see below), whose sum is σ = 641430873702144. Its totient is φ = 258963267657600.

The previous prime is 434131072101451. The next prime is 434131072101553. The reversal of 434131072101507 is 705101270131434.

It is not a de Polignac number, because 434131072101507 - 2⁴⁶ = 363762327923843 is a prime.

It is a super-2 number, since 2×434131072101507² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434131072101607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80517748 + ... + 85740129.

It is an arithmetic number, because the mean of its divisors is an integer number (20044714803192).

Almost surely, 2^{434131072101507} is an apocalyptic number.

434131072101507 is a deficient number, since it is larger than the sum of its proper divisors (207299801600637).

434131072101507 is a wasteful number, since it uses less digits than its factorization.

434131072101507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166259139.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 434131072101507 in words is "four hundred thirty-four trillion, one hundred thirty-one billion, seventy-two million, one hundred one thousand, five hundred seven".