40101408 has 36 divisors (see below), whose sum is σ = 114039198. Its totient is φ = 13367040.

The previous prime is 40101389. The next prime is 40101409. The reversal of 40101408 is 80410104.

It can be written as a sum of positive squares in only one way, i.e., 24324624 + 15776784 = 4932^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40101409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69333 + ... + 69908.

Almost surely, 2^40101408 is an apocalyptic number.

40101408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40101408 is an abundant number, since it is smaller than the sum of its proper divisors (73937790).

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

40101408 is a wasteful number, since it uses less digits than its factorization.

40101408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139257 (or 139246 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40101408 is about 6332.5672519129. The cubic root of 40101408 is about 342.2839541818.

The spelling of 40101408 in words is "forty million, one hundred one thousand, four hundred eight".