40152960 has 96 divisors (see below), whose sum is σ = 138673080. Its totient is φ = 10705920.

The previous prime is 40152953. The next prime is 40152961. The reversal of 40152960 is 6925104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40152960² = 3224520393523200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40152961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2275 + ... + 9245.

Almost surely, 2^40152960 is an apocalyptic number.

40152960 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 40152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336540).

40152960 is an abundant number, since it is smaller than the sum of its proper divisors (98520120).

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

40152960 is a wasteful number, since it uses less digits than its factorization.

40152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40152960 is about 6336.6363316826. The cubic root of 40152960 is about 342.4305647156.

It can be divided in two parts, 401 and 52960, that added together give a square (53361 = 231²).

The spelling of 40152960 in words is "forty million, one hundred fifty-two thousand, nine hundred sixty".