40044000 has 192 divisors, whose sum is σ = 135862272. Its totient is φ = 10304000.

The previous prime is 40043981. The next prime is 40044013. The reversal of 40044000 is 44004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563965 + ... + 564035.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^40044000 is an apocalyptic number.

40044000 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 40044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

40044000 is an abundant number, since it is smaller than the sum of its proper divisors (95818272).

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

40044000 is a wasteful number, since it uses less digits than its factorization.

40044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40044000 is about 6328.0328696997. The cubic root of 40044000 is about 342.1205416202.

Adding to 40044000 its reverse (44004), we get a palindrome (40088004).

The spelling of 40044000 in words is "forty million, forty-four thousand", and thus it is an eban number.