40680900 has 288 divisors, whose sum is σ = 150684800. Its totient is φ = 9331200.

The previous prime is 40680889. The next prime is 40680911. The reversal of 40680900 is 908604.

It is an interprime number because it is at equal distance from previous prime (40680889) and next prime (40680911).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666870 + ... + 666930.

Almost surely, 2^40680900 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 40680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75342400).

40680900 is an abundant number, since it is smaller than the sum of its proper divisors (110003900).

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

40680900 is a wasteful number, since it uses less digits than its factorization.

40680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40680900 is about 6378.1580413157. The cubic root of 40680900 is about 343.9248190671.

The spelling of 40680900 in words is "forty million, six hundred eighty thousand, nine hundred".