40107210000 has 400 divisors, whose sum is σ = 152122555200. Its totient is φ = 8974080000.

The previous prime is 40107209993. The next prime is 40107210007. The reversal of 40107210000 is 1270104.

It is an interprime number because it is at equal distance from previous prime (40107209993) and next prime (40107210007).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (40107210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4285326 + ... + 4294674.

It is an arithmetic number, because the mean of its divisors is an integer number (380306388).

Almost surely, 2^40107210000 is an apocalyptic number.

40107210000 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 40107210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76061277600).

40107210000 is an abundant number, since it is smaller than the sum of its proper divisors (112015345200).

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

40107210000 is a wasteful number, since it uses less digits than its factorization.

40107210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 40107210000 its reverse (1270104), we get a palindrome (40108480104).

The spelling of 40107210000 in words is "forty billion, one hundred seven million, two hundred ten thousand".