14027417376 has 288 divisors, whose sum is σ = 44946679680. Its totient is φ = 3812143104.

The previous prime is 14027417351. The next prime is 14027417423. The reversal of 14027417376 is 67371472041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34296660 + ... + 34297068.

It is an arithmetic number, because the mean of its divisors is an integer number (156064860).

Almost surely, 2^14027417376 is an apocalyptic number.

14027417376 is a gapful number since it is divisible by the number (16) 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 14027417376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22473339840).

14027417376 is an abundant number, since it is smaller than the sum of its proper divisors (30919262304).

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

14027417376 is a wasteful number, since it uses less digits than its factorization.

14027417376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 14027417376 in words is "fourteen billion, twenty-seven million, four hundred seventeen thousand, three hundred seventy-six".