40461120 has 280 divisors, whose sum is σ = 165225984. Its totient is φ = 9206784.

The previous prime is 40461077. The next prime is 40461131. The reversal of 40461120 is 2116404.

It is a tau number, because it is divible by the number of its divisors (280).

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 = 40461093 and 40461102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181329 + ... + 181551.

Almost surely, 2^40461120 is an apocalyptic number.

40461120 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 40461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82612992).

40461120 is an abundant number, since it is smaller than the sum of its proper divisors (124764864).

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

40461120 is a wasteful number, since it uses less digits than its factorization.

40461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

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

The square root of 40461120 is about 6360.9055959038. The cubic root of 40461120 is about 343.3043450143.

Adding to 40461120 its reverse (2116404), we get a palindrome (42577524).

The spelling of 40461120 in words is "forty million, four hundred sixty-one thousand, one hundred twenty".