114255105053440 has 288 divisors, whose sum is σ = 310318062163200. Its totient is φ = 39956201717760.

The previous prime is 114255105053423. The next prime is 114255105053501. The reversal of 114255105053440 is 44350501552411.

It is a super-2 number, since 2×114255105053440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114255105053393 and 114255105053402.

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 31 ways as a sum of consecutive naturals, for example, 1331306851 + ... + 1331392669.

It is an arithmetic number, because the mean of its divisors is an integer number (1077493271400).

Almost surely, 2^{114255105053440} is an apocalyptic number.

114255105053440 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 114255105053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155159031081600).

114255105053440 is an abundant number, since it is smaller than the sum of its proper divisors (196062957109760).

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

114255105053440 is a wasteful number, since it uses less digits than its factorization.

114255105053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90083 (or 90069 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 114255105053440 in words is "one hundred fourteen trillion, two hundred fifty-five billion, one hundred five million, fifty-three thousand, four hundred forty".