40145120 has 48 divisors (see below), whose sum is σ = 98975520. Its totient is φ = 15358464.

The previous prime is 40145113. The next prime is 40145167. The reversal of 40145120 is 2154104.

It is a super-2 number, since 2×40145120² = 3223261319628800, which contains 22 as substring.

It is a congruent number.

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, 1775 + ... + 9134.

It is an arithmetic number, because the mean of its divisors is an integer number (2061990).

Almost surely, 2^40145120 is an apocalyptic number.

40145120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40145120 is an abundant number, since it is smaller than the sum of its proper divisors (58830400).

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

40145120 is a wasteful number, since it uses less digits than its factorization.

40145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10939 counting only the distinct ones).

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

The square root of 40145120 is about 6336.0176767430. The cubic root of 40145120 is about 342.4082763598.

Adding to 40145120 its product of nonzero digits (160), we get a triangular number (40145280 = T₈₉₆₀).

Adding to 40145120 its reverse (2154104), we get a palindrome (42299224).

It can be divided in two parts, 401 and 45120, that multiplied together give a triangular number (18093120 = T₆₀₁₅).

The spelling of 40145120 in words is "forty million, one hundred forty-five thousand, one hundred twenty".