114043004515440 has 960 divisors, whose sum is σ = 544479173102592. Its totient is φ = 20587651891200.

The previous prime is 114043004515439. The next prime is 114043004515511. The reversal of 114043004515440 is 44515400340411.

114043004515440 is a `hidden beast` number, since 1 + 1 + 40 + 4 + 30 + 0 + 45 + 1 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114043004515395 and 114043004515404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7598275 + ... + 16906205.

Almost surely, 2^{114043004515440} is an apocalyptic number.

114043004515440 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 114043004515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272239586551296).

114043004515440 is an abundant number, since it is smaller than the sum of its proper divisors (430436168587152).

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

114043004515440 is a wasteful number, since it uses less digits than its factorization.

114043004515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307998 (or 9307989 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 114043004515440 its reverse (44515400340411), we get a palindrome (158558404855851).

The spelling of 114043004515440 in words is "one hundred fourteen trillion, forty-three billion, four million, five hundred fifteen thousand, four hundred forty".