40726800 has 180 divisors, whose sum is σ = 146917680. Its totient is φ = 10834560.

The previous prime is 40726799. The next prime is 40726801. The reversal of 40726800 is 862704.

It is an interprime number because it is at equal distance from previous prime (40726799) and next prime (40726801).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40726801) 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 35 ways as a sum of consecutive naturals, for example, 96991 + ... + 97409.

Almost surely, 2^40726800 is an apocalyptic number.

40726800 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 40726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73458840).

40726800 is an abundant number, since it is smaller than the sum of its proper divisors (106190880).

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

40726800 is a wasteful number, since it uses less digits than its factorization.

40726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40726800 is about 6381.7552444449. The cubic root of 40726800 is about 344.0541198428.

The spelling of 40726800 in words is "forty million, seven hundred twenty-six thousand, eight hundred".