40000514000 has 80 divisors (see below), whose sum is σ = 96832272576. Its totient is φ = 15981840000.

The previous prime is 40000513997. The next prime is 40000514003. The reversal of 40000514000 is 41500004.

It is an interprime number because it is at equal distance from previous prime (40000513997) and next prime (40000514003).

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

It is a super-2 number, since 2×40000514000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000514003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1802975 + ... + 1825025.

Almost surely, 2^40000514000 is an apocalyptic number.

40000514000 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 40000514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48416136288).

40000514000 is an abundant number, since it is smaller than the sum of its proper divisors (56831758576).

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

40000514000 is a wasteful number, since it uses less digits than its factorization.

40000514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22981 (or 22965 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The spelling of 40000514000 in words is "forty billion, five hundred fourteen thousand".