40014310200 has 288 divisors, whose sum is σ = 132650103600. Its totient is φ = 9966028800.

The previous prime is 40014310187. The next prime is 40014310207. The reversal of 40014310200 is 201341004.

It is a super-2 number, since 2×40014310200² (a number of 22 digits) contains 22 as substring.

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 40014310200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014310207) 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, 16720204 + ... + 16722596.

Almost surely, 2^40014310200 is an apocalyptic number.

40014310200 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 40014310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66325051800).

40014310200 is an abundant number, since it is smaller than the sum of its proper divisors (92635793400).

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

40014310200 is a wasteful number, since it uses less digits than its factorization.

40014310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 40014310200 its reverse (201341004), we get a palindrome (40215651204).

The spelling of 40014310200 in words is "forty billion, fourteen million, three hundred ten thousand, two hundred".