40083120 has 320 divisors, whose sum is σ = 172846080. Its totient is φ = 8294400.

The previous prime is 40083119. The next prime is 40083137. The reversal of 40083120 is 2138004.

It is a happy number.

40083120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 40083093 and 40083102.

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 63 ways as a sum of consecutive naturals, for example, 166200 + ... + 166440.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 2^40083120 is an apocalyptic number.

40083120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

40083120 is an abundant number, since it is smaller than the sum of its proper divisors (132762960).

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

40083120 is a wasteful number, since it uses less digits than its factorization.

40083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40083120 is about 6331.1231231117. The cubic root of 40083120 is about 342.2319141074.

Subtracting from 40083120 its reverse (2138004), we obtain a triangular number (37945116 = T₈₇₁₁).

The spelling of 40083120 in words is "forty million, eighty-three thousand, one hundred twenty".