40102041314000 has 160 divisors (see below), whose sum is σ = 97941639717792. Its totient is φ = 15879590400000.

The previous prime is 40102041313991. The next prime is 40102041314009. The reversal of 40102041314000 is 41314020104.

It is an interprime number because it is at equal distance from previous prime (40102041313991) and next prime (40102041314009).

It can be written as a sum of positive squares in 16 ways, for example, as 18682657654336 + 21419383659664 = 4322344^2 + 4628108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102041314009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1975751852 + ... + 1975772148.

Almost surely, 2^{40102041314000} is an apocalyptic number.

40102041314000 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 40102041314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48970819858896).

40102041314000 is an abundant number, since it is smaller than the sum of its proper divisors (57839598403792).

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

40102041314000 is a wasteful number, since it uses less digits than its factorization.

40102041314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40102041314000 its reverse (41314020104), we get a palindrome (40143355334104).

The spelling of 40102041314000 in words is "forty trillion, one hundred two billion, forty-one million, three hundred fourteen thousand".