40680120 has 128 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 9867264.

The previous prime is 40680119. The next prime is 40680137. The reversal of 40680120 is 2108604.

40680120 = T₃₉ + T₄₀ + ... + T₆₂₄.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138694 + ... + 138986.

Almost surely, 2^40680120 is an apocalyptic number.

40680120 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 40680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

40680120 is an abundant number, since it is smaller than the sum of its proper divisors (92678280).

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

40680120 is a wasteful number, since it uses less digits than its factorization.

40680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 40680120 is about 6378.0968948425. The cubic root of 40680120 is about 343.9226209588.

Adding to 40680120 its reverse (2108604), we get a palindrome (42788724).

The spelling of 40680120 in words is "forty million, six hundred eighty thousand, one hundred twenty".