40201010000 has 200 divisors, whose sum is σ = 102090620544. Its totient is φ = 15301440000.

The previous prime is 40201009883. The next prime is 40201010093. The reversal of 40201010000 is 1010204.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×40201010000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 40201010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63709685 + ... + 63710315.

Almost surely, 2^40201010000 is an apocalyptic number.

40201010000 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 40201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51045310272).

40201010000 is an abundant number, since it is smaller than the sum of its proper divisors (61889610544).

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

40201010000 is a wasteful number, since it uses less digits than its factorization.

40201010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 40201010000 its reverse (1010204), we get a palindrome (40202020204).

The spelling of 40201010000 in words is "forty billion, two hundred one million, ten thousand".