40307100 has 144 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 10035200.

The previous prime is 40307077. The next prime is 40307107. The reversal of 40307100 is 170304.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40307100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40307107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356644 + ... + 356756.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^40307100 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 40307100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

40307100 is an abundant number, since it is smaller than the sum of its proper divisors (84372420).

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

40307100 is a wasteful number, since it uses less digits than its factorization.

40307100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 40307100 is about 6348.7872857736. The cubic root of 40307100 is about 342.8681816882.

Adding to 40307100 its reverse (170304), we get a palindrome (40477404).

The spelling of 40307100 in words is "forty million, three hundred seven thousand, one hundred".