432422151345040 has 20 divisors (see below), whose sum is σ = 1005381501877404. Its totient is φ = 172968860537984.

The previous prime is 432422151344999. The next prime is 432422151345047. The reversal of 432422151345040 is 40543151224234.

It can be written as a sum of positive squares in 2 ways, for example, as 144214351709184 + 288207799635856 = 12008928^2 + 16976684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×432422151345040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 432422151344984 and 432422151345002.

It is not an unprimeable number, because it can be changed into a prime (432422151345047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2702638445827 + ... + 2702638445986.

Almost surely, 2^{432422151345040} is an apocalyptic number.

432422151345040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432422151345040 is an abundant number, since it is smaller than the sum of its proper divisors (572959350532364).

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

432422151345040 is a wasteful number, since it uses less digits than its factorization.

432422151345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405276891826 (or 5405276891820 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 432422151345040 in words is "four hundred thirty-two trillion, four hundred twenty-two billion, one hundred fifty-one million, three hundred forty-five thousand, forty".