40415120 has 40 divisors (see below), whose sum is σ = 99495864. Its totient is φ = 15214592.

The previous prime is 40415099. The next prime is 40415149. The reversal of 40415120 is 2151404.

It can be written as a sum of positive squares in 4 ways, for example, as 15335056 + 25080064 = 3916^2 + 5008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40415120² = 3266763849228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13499 + ... + 16218.

Almost surely, 2^40415120 is an apocalyptic number.

40415120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40415120 is an abundant number, since it is smaller than the sum of its proper divisors (59080744).

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

40415120 is a wasteful number, since it uses less digits than its factorization.

40415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29747 (or 29741 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 40415120 is about 6357.2887302686. The cubic root of 40415120 is about 343.1741954760.

Adding to 40415120 its reverse (2151404), we get a palindrome (42566524).

The spelling of 40415120 in words is "forty million, four hundred fifteen thousand, one hundred twenty".