4144535040 has 80 divisors (see below), whose sum is σ = 13249585008. Its totient is φ = 1105207296.

The previous prime is 4144535027. The next prime is 4144535107. The reversal of 4144535040 is 405354414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4144534989 and 4144535007.

It is a congruent number.

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, 262147 + ... + 277506.

Almost surely, 2^4144535040 is an apocalyptic number.

4144535040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144535040 is an abundant number, since it is smaller than the sum of its proper divisors (9105049968).

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

4144535040 is an equidigital number, since it uses as much as digits as its factorization.

4144535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539679 (or 539663 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4144535040 is about 64378.0633445897. The cubic root of 4144535040 is about 1606.2948683334.

Adding to 4144535040 its reverse (405354414), we get a palindrome (4549889454).

The spelling of 4144535040 in words is "four billion, one hundred forty-four million, five hundred thirty-five thousand, forty".