40825120 has 48 divisors (see below), whose sum is σ = 110230848. Its totient is φ = 13996800.

The previous prime is 40825117. The next prime is 40825123. The reversal of 40825120 is 2152804.

40825120 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (40825117) and next prime (40825123).

It is a junction number, because it is equal to n+sod(n) for n = 40825091 and 40825100.

It is not an unprimeable number, because it can be changed into a prime (40825123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17106 + ... + 19345.

It is an arithmetic number, because the mean of its divisors is an integer number (2296476).

Almost surely, 2^40825120 is an apocalyptic number.

40825120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40825120 is an abundant number, since it is smaller than the sum of its proper divisors (69405728).

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

40825120 is a wasteful number, since it uses less digits than its factorization.

40825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36473 (or 36465 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 40825120 is about 6389.4538107729. The cubic root of 40825120 is about 344.3307617281.

Adding to 40825120 its reverse (2152804), we get a palindrome (42977924).

The spelling of 40825120 in words is "forty million, eight hundred twenty-five thousand, one hundred twenty".