4240004234144 has 72 divisors (see below), whose sum is σ = 9775537625700. Its totient is φ = 1804948970496.

The previous prime is 4240004234143. The next prime is 4240004234177. The reversal of 4240004234144 is 4414324000424.

It can be written as a sum of positive squares in 2 ways, for example, as 3224222454544 + 1015781779600 = 1795612^2 + 1007860^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4240004234144.

It is not an unprimeable number, because it can be changed into a prime (4240004234143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8840477 + ... + 9307740.

Almost surely, 2^{4240004234144} is an apocalyptic number.

It is an amenable number.

4240004234144 is an abundant number, since it is smaller than the sum of its proper divisors (5535533391556).

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

4240004234144 is a wasteful number, since it uses less digits than its factorization.

4240004234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148390 (or 18148375 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4240004234144 its reverse (4414324000424), we get a palindrome (8654328234568).

The spelling of 4240004234144 in words is "four trillion, two hundred forty billion, four million, two hundred thirty-four thousand, one hundred forty-four".