40364100 has 216 divisors, whose sum is σ = 148948800. Its totient is φ = 8951040.

The previous prime is 40364099. The next prime is 40364101. The reversal of 40364100 is 146304.

It is an interprime number because it is at equal distance from previous prime (40364099) and next prime (40364101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40364101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270826 + ... + 270974.

Almost surely, 2^40364100 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 40364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

40364100 is an abundant number, since it is smaller than the sum of its proper divisors (108584700).

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

40364100 is a wasteful number, since it uses less digits than its factorization.

40364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40364100 is about 6353.2747461447. The cubic root of 40364100 is about 343.0297270997.

The spelling of 40364100 in words is "forty million, three hundred sixty-four thousand, one hundred".