40200114000 has 160 divisors (see below), whose sum is σ = 130818519936. Its totient is φ = 10619673600.

The previous prime is 40200113981. The next prime is 40200114011. The reversal of 40200114000 is 41100204.

It is a super-2 number, since 2×40200114000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610692 + ... + 673308.

Almost surely, 2^40200114000 is an apocalyptic number.

40200114000 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 40200114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65409259968).

40200114000 is an abundant number, since it is smaller than the sum of its proper divisors (90618405936).

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

40200114000 is a wasteful number, since it uses less digits than its factorization.

40200114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62750 (or 62734 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 40200114000 its reverse (41100204), we get a palindrome (40241214204).

The spelling of 40200114000 in words is "forty billion, two hundred million, one hundred fourteen thousand".