40035000 has 160 divisors (see below), whose sum is σ = 133269840. Its totient is φ = 9984000.

The previous prime is 40034987. The next prime is 40035007. The reversal of 40035000 is 53004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40035007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254922 + ... + 255078.

Almost surely, 2^40035000 is an apocalyptic number.

40035000 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 40035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66634920).

40035000 is an abundant number, since it is smaller than the sum of its proper divisors (93234840).

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

40035000 is a wasteful number, since it uses less digits than its factorization.

40035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 40035000 is about 6327.3217082744. The cubic root of 40035000 is about 342.0949088530.

Adding to 40035000 its reverse (53004), we get a palindrome (40088004).

The spelling of 40035000 in words is "forty million, thirty-five thousand".