42464064004240 has 40 divisors (see below), whose sum is σ = 101397298784760. Its totient is φ = 16526554638336.

The previous prime is 42464064004237. The next prime is 42464064004253. The reversal of 42464064004240 is 4240046046424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5006334650256 + 37457729353984 = 2237484^2 + 6120272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 42464064004193 and 42464064004202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7172980825 + ... + 7172986744.

It is an arithmetic number, because the mean of its divisors is an integer number (2534932469619).

Almost surely, 2^{42464064004240} is an apocalyptic number.

42464064004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42464064004240 is an abundant number, since it is smaller than the sum of its proper divisors (58933234780520).

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

42464064004240 is a wasteful number, since it uses less digits than its factorization.

42464064004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14345967619 (or 14345967613 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 42464064004240 in words is "forty-two trillion, four hundred sixty-four billion, sixty-four million, four thousand, two hundred forty".