40146144 has 24 divisors (see below), whose sum is σ = 105383880. Its totient is φ = 13382016.

The previous prime is 40146143. The next prime is 40146149. The reversal of 40146144 is 44164104.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×40146144² = 3223425756137472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208999 + ... + 209190.

It is an arithmetic number, because the mean of its divisors is an integer number (4390995).

Almost surely, 2^40146144 is an apocalyptic number.

It is an amenable number.

40146144 is an abundant number, since it is smaller than the sum of its proper divisors (65237736).

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

40146144 is a wasteful number, since it uses less digits than its factorization.

40146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418202 (or 418194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40146144 is about 6336.0984840831. The cubic root of 40146144 is about 342.4111876567.

The spelling of 40146144 in words is "forty million, one hundred forty-six thousand, one hundred forty-four".