14056461440 has 384 divisors, whose sum is σ = 42530572800. Its totient is φ = 4412620800.

The previous prime is 14056461439. The next prime is 14056461487. The reversal of 14056461440 is 4416465041.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14056461440.

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, 18470660 + ... + 18471420.

It is an arithmetic number, because the mean of its divisors is an integer number (110756700).

Almost surely, 2^14056461440 is an apocalyptic number.

14056461440 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 14056461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265286400).

14056461440 is an abundant number, since it is smaller than the sum of its proper divisors (28474111360).

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

14056461440 is a wasteful number, since it uses less digits than its factorization.

14056461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 14056461440 in words is "fourteen billion, fifty-six million, four hundred sixty-one thousand, four hundred forty".