40210120 has 64 divisors (see below), whose sum is σ = 94186800. Its totient is φ = 15436800.

The previous prime is 40210109. The next prime is 40210133. The reversal of 40210120 is 2101204.

It can be written as a sum of positive squares in 8 ways, for example, as 27436644 + 12773476 = 5238^2 + 3574^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 40210097 and 40210106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149346 + ... + 149614.

Almost surely, 2^40210120 is an apocalyptic number.

40210120 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 40210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093400).

40210120 is an abundant number, since it is smaller than the sum of its proper divisors (53976680).

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

40210120 is a wasteful number, since it uses less digits than its factorization.

40210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40210120 is about 6341.1450070157. The cubic root of 40210120 is about 342.5929774036.

Adding to 40210120 its reverse (2101204), we get a palindrome (42311324).

The spelling of 40210120 in words is "forty million, two hundred ten thousand, one hundred twenty".