14034280671450 has 1152 divisors, whose sum is σ = 45992096317440. Its totient is φ = 3032825241600.

The previous prime is 14034280671421. The next prime is 14034280671469. The reversal of 14034280671450 is 5417608243041.

14034280671450 is a `hidden beast` number, since 1 + 403 + 42 + 8 + 0 + 67 + 145 + 0 = 666.

It is a super-2 number, since 2×14034280671450² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14034280671396 and 14034280671405.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16727390131 + ... + 16727390969.

It is an arithmetic number, because the mean of its divisors is an integer number (39923694720).

Almost surely, 2^{14034280671450} is an apocalyptic number.

14034280671450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14034280671450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22996048158720).

14034280671450 is an abundant number, since it is smaller than the sum of its proper divisors (31957815645990).

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

14034280671450 is a wasteful number, since it uses less digits than its factorization.

14034280671450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14034280671450 in words is "fourteen trillion, thirty-four billion, two hundred eighty million, six hundred seventy-one thousand, four hundred fifty".