14034038379480 has 1152 divisors, whose sum is σ = 58134900096000. Its totient is φ = 3027586222080.

The previous prime is 14034038379469. The next prime is 14034038379541. The reversal of 14034038379480 is 8497383043041.

14034038379480 is a `hidden beast` number, since 1 + 40 + 3 + 40 + 3 + 83 + 7 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2542856161 + ... + 2542861679.

It is an arithmetic number, because the mean of its divisors is an integer number (50464323000).

Almost surely, 2^{14034038379480} is an apocalyptic number.

14034038379480 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 14034038379480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29067450048000).

14034038379480 is an abundant number, since it is smaller than the sum of its proper divisors (44100861716520).

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

14034038379480 is a wasteful number, since it uses less digits than its factorization.

14034038379480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 14034038379480 in words is "fourteen trillion, thirty-four billion, thirty-eight million, three hundred seventy-nine thousand, four hundred eighty".