14010106429440 has 1920 divisors, whose sum is σ = 56802564403200. Its totient is φ = 3246202552320.

The previous prime is 14010106429411. The next prime is 14010106429547. The reversal of 14010106429440 is 4492460101041.

It is a happy number.

14010106429440 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 0 + 1 + 0 + 642 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 14010106429395 and 14010106429404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71117291422 + ... + 71117291618.

It is an arithmetic number, because the mean of its divisors is an integer number (29584668960).

Almost surely, 2^{14010106429440} is an apocalyptic number.

14010106429440 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 14010106429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28401282201600).

14010106429440 is an abundant number, since it is smaller than the sum of its proper divisors (42792457973760).

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

14010106429440 is a wasteful number, since it uses less digits than its factorization.

14010106429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14010106429440 in words is "fourteen trillion, ten billion, one hundred six million, four hundred twenty-nine thousand, four hundred forty".