40140464 has 80 divisors (see below), whose sum is σ = 100826880. Its totient is φ = 15033600.

The previous prime is 40140461. The next prime is 40140469. The reversal of 40140464 is 46404104.

40140464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40140464² = 3222513700270592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40140461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26939 + ... + 28389.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^40140464 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 40140464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

40140464 is an abundant number, since it is smaller than the sum of its proper divisors (60686416).

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

40140464 is a wasteful number, since it uses less digits than its factorization.

40140464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 40140464 is about 6335.6502428717. The cubic root of 40140464 is about 342.3950384322.

Adding to 40140464 its reverse (46404104), we get a palindrome (86544568).

It can be divided in two parts, 40140 and 464, that added together give a palindrome (40604).

The spelling of 40140464 in words is "forty million, one hundred forty thousand, four hundred sixty-four".