40821312 has 84 divisors (see below), whose sum is σ = 125669040. Its totient is φ = 11660544.

The previous prime is 40821307. The next prime is 40821353. The reversal of 40821312 is 21312804.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×40821312³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 7239 + ... + 11577.

It is an arithmetic number, because the mean of its divisors is an integer number (1496060).

Almost surely, 2^40821312 is an apocalyptic number.

40821312 is a gapful number since it is divisible by the number (42) 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 40821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62834520).

40821312 is an abundant number, since it is smaller than the sum of its proper divisors (84847728).

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

40821312 is a wasteful number, since it uses less digits than its factorization.

40821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 40821312 is about 6389.1558127815. The cubic root of 40821312 is about 344.3200554742.

The spelling of 40821312 in words is "forty million, eight hundred twenty-one thousand, three hundred twelve".