40500960 has 48 divisors (see below), whose sum is σ = 127579536. Its totient is φ = 10800128.

The previous prime is 40500949. The next prime is 40500983. The reversal of 40500960 is 6900504.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40500960.

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, 41709 + ... + 42668.

It is an arithmetic number, because the mean of its divisors is an integer number (2657907).

Almost surely, 2^40500960 is an apocalyptic number.

40500960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40500960 is an abundant number, since it is smaller than the sum of its proper divisors (87078576).

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

40500960 is a wasteful number, since it uses less digits than its factorization.

40500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84395 (or 84387 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40500960 is about 6364.0364549553. The cubic root of 40500960 is about 343.4169861413.

The spelling of 40500960 in words is "forty million, five hundred thousand, nine hundred sixty".