40700 has 36 divisors (see below), whose sum is σ = 98952. Its totient is φ = 14400.

The previous prime is 40699. The next prime is 40709. The reversal of 40700 is 704.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40709) 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 11 ways as a sum of consecutive naturals, for example, 1082 + ... + 1118.

2⁴⁰⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

40700 is an abundant number, since it is smaller than the sum of its proper divisors (58252).

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

40700 is a wasteful number, since it uses less digits than its factorization.

40700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 40700 is about 201.7424100183. The cubic root of 40700 is about 34.3978635774.

The spelling of 40700 in words is "forty thousand, seven hundred", and thus it is an iban number.