40364120 has 32 divisors (see below), whose sum is σ = 96163200. Its totient is φ = 15195648.

The previous prime is 40364101. The next prime is 40364141. The reversal of 40364120 is 2146304.

It is a happy number.

40364120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40364092 and 40364101.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29000 + ... + 30359.

It is an arithmetic number, because the mean of its divisors is an integer number (3005100).

Almost surely, 2^40364120 is an apocalyptic number.

40364120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40364120 is an abundant number, since it is smaller than the sum of its proper divisors (55799080).

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

40364120 is a wasteful number, since it uses less digits than its factorization.

40364120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59387 (or 59383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40364120 is about 6353.2763201359. The cubic root of 40364120 is about 343.0297837556.

The spelling of 40364120 in words is "forty million, three hundred sixty-four thousand, one hundred twenty".