42232400434440 has 96 divisors (see below), whose sum is σ = 137524958789400. Its totient is φ = 11239847715840.

The previous prime is 42232400434423. The next prime is 42232400434447. The reversal of 42232400434440 is 4443400423224.

42232400434440 is a `hidden beast` number, since 4 + 2 + 232 + 40 + 0 + 4 + 344 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40726120416804 + 1506280017636 = 6381702^2 + 1227306^2 .

It is a super-2 number, since 2×42232400434440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42232400434395 and 42232400434404.

It is not an unprimeable number, because it can be changed into a prime (42232400434447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115054701 + ... + 115421180.

Almost surely, 2^{42232400434440} is an apocalyptic number.

42232400434440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232400434440 is an abundant number, since it is smaller than the sum of its proper divisors (95292558354960).

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

42232400434440 is a wasteful number, since it uses less digits than its factorization.

42232400434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230476407 (or 230476400 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 42232400434440 its reverse (4443400423224), we get a palindrome (46675800857664).

The spelling of 42232400434440 in words is "forty-two trillion, two hundred thirty-two billion, four hundred million, four hundred thirty-four thousand, four hundred forty".