14000242001040 has 800 divisors, whose sum is σ = 55455655432320. Its totient is φ = 3251414089728.

The previous prime is 14000242001029. The next prime is 14000242001051. The reversal of 14000242001040 is 4010024200041.

14000242001040 is a `hidden beast` number, since 1 + 400 + 0 + 24 + 200 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14000242001029) and next prime (14000242001051).

It is a super-2 number, since 2×14000242001040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89922942 + ... + 90078498.

Almost surely, 2^{14000242001040} is an apocalyptic number.

14000242001040 is a gapful number since it is divisible by the number (10) 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 14000242001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27727827716160).

14000242001040 is an abundant number, since it is smaller than the sum of its proper divisors (41455413431280).

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

14000242001040 is a wasteful number, since it uses less digits than its factorization.

14000242001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155661 (or 155646 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14000242001040 its reverse (4010024200041), we get a palindrome (18010266201081).

The spelling of 14000242001040 in words is "fourteen trillion, two hundred forty-two million, one thousand, forty".