40374144 has 96 divisors (see below), whose sum is σ = 117669240. Its totient is φ = 13286400.

The previous prime is 40374143. The next prime is 40374149. The reversal of 40374144 is 44147304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×40374144³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40374143) 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, 116179 + ... + 116525.

Almost surely, 2^40374144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834620).

40374144 is an abundant number, since it is smaller than the sum of its proper divisors (77295096).

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

40374144 is a wasteful number, since it uses less digits than its factorization.

40374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40374144 is about 6354.0651554733. The cubic root of 40374144 is about 343.0581773384.

It can be divided in two parts, 403 and 74144, that added together give a palindrome (74547).

The spelling of 40374144 in words is "forty million, three hundred seventy-four thousand, one hundred forty-four".