40726000 has 80 divisors (see below), whose sum is σ = 112582080. Its totient is φ = 13958400.

The previous prime is 40725977. The next prime is 40726003. The reversal of 40726000 is 62704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40726003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12546 + ... + 15454.

It is an arithmetic number, because the mean of its divisors is an integer number (1407276).

Almost surely, 2^40726000 is an apocalyptic number.

40726000 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 40726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291040).

40726000 is an abundant number, since it is smaller than the sum of its proper divisors (71856080).

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

40726000 is a wasteful number, since it uses less digits than its factorization.

40726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 40726000 is about 6381.6925654563. The cubic root of 40726000 is about 344.0518670666.

Adding to 40726000 its reverse (62704), we get a palindrome (40788704).

The spelling of 40726000 in words is "forty million, seven hundred twenty-six thousand".