114040700928000 has 4480 divisors, whose sum is σ = 549244188979200. Its totient is φ = 22932357120000.

The previous prime is 114040700927987. The next prime is 114040700928029. The reversal of 114040700928000 is 829007040411.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×114040700928000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 3678732287985 + ... + 3678732288015.

Almost surely, 2^{114040700928000} is an apocalyptic number.

114040700928000 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 114040700928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274622094489600).

114040700928000 is an abundant number, since it is smaller than the sum of its proper divisors (435203488051200).

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

114040700928000 is an frugal number, since it uses more digits than its factorization.

114040700928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 114040700928000 its reverse (829007040411), we get a palindrome (114869707968411).

The spelling of 114040700928000 in words is "one hundred fourteen trillion, forty billion, seven hundred million, nine hundred twenty-eight thousand".