40319602000 has 80 divisors (see below), whose sum is σ = 98498351952. Its totient is φ = 15961497600.

The previous prime is 40319601997. The next prime is 40319602003. The reversal of 40319602000 is 20691304.

It is an interprime number because it is at equal distance from previous prime (40319601997) and next prime (40319602003).

It can be written as a sum of positive squares in 8 ways, for example, as 12478677264 + 27840924736 = 111708^2 + 166856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40319602003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90084 + ... + 297916.

Almost surely, 2^40319602000 is an apocalyptic number.

40319602000 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 40319602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49249175976).

40319602000 is an abundant number, since it is smaller than the sum of its proper divisors (58178749952).

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

40319602000 is a wasteful number, since it uses less digits than its factorization.

40319602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207953 (or 207937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 40319602000 in words is "forty billion, three hundred nineteen million, six hundred two thousand".