144400040 has 32 divisors (see below), whose sum is σ = 344013480. Its totient is φ = 54362112.

The previous prime is 144400033. The next prime is 144400079. The reversal of 144400040 is 40004441.

144400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 140327716 + 4072324 = 11846^2 + 2018^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 144399991 and 144400018.

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, 105497 + ... + 106856.

Almost surely, 2^144400040 is an apocalyptic number.

144400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400040 is an abundant number, since it is smaller than the sum of its proper divisors (199613440).

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

144400040 is a wasteful number, since it uses less digits than its factorization.

144400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212381 (or 212377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 144400040 is about 12016.6567729964. The cubic root of 144400040 is about 524.6332010843.

Adding to 144400040 its reverse (40004441), we get a palindrome (184404481).

It can be divided in two parts, 1444000 and 40, that multiplied together give a square (57760000 = 7600²).

The spelling of 144400040 in words is "one hundred forty-four million, four hundred thousand, forty".