14354124354040 has 192 divisors, whose sum is σ = 36198076262400. Its totient is φ = 5107577702400.

The previous prime is 14354124354029. The next prime is 14354124354107. The reversal of 14354124354040 is 4045342145341.

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 = 14354124353984 and 14354124354002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 94589025 + ... + 94740655.

It is an arithmetic number, because the mean of its divisors is an integer number (188531647200).

Almost surely, 2^{14354124354040} is an apocalyptic number.

14354124354040 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 14354124354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18099038131200).

14354124354040 is an abundant number, since it is smaller than the sum of its proper divisors (21843951908360).

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

14354124354040 is a wasteful number, since it uses less digits than its factorization.

14354124354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152126 (or 152105 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 14354124354040 its reverse (4045342145341), we get a palindrome (18399466499381).

The spelling of 14354124354040 in words is "fourteen trillion, three hundred fifty-four billion, one hundred twenty-four million, three hundred fifty-four thousand, forty".