432041355444105 has 128 divisors (see below), whose sum is σ = 890638627714560. Its totient is φ = 196385427947520.

The previous prime is 432041355444091. The next prime is 432041355444119. The reversal of 432041355444105 is 501444553140234.

432041355444105 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 41 + 3 + 554 + 44 + 10 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (432041355444091) and next prime (432041355444119).

It is not a de Polignac number, because 432041355444105 - 2¹³ = 432041355435913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26807634 + ... + 39783563.

It is an arithmetic number, because the mean of its divisors is an integer number (6958114279020).

Almost surely, 2^{432041355444105} is an apocalyptic number.

432041355444105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432041355444105 is an abundant number, since it is smaller than the sum of its proper divisors (458597272270455).

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

432041355444105 is a wasteful number, since it uses less digits than its factorization.

432041355444105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66591496 (or 66591490 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 432041355444105 in words is "four hundred thirty-two trillion, forty-one billion, three hundred fifty-five million, four hundred forty-four thousand, one hundred five".