14529742030440 has 2304 divisors, whose sum is σ = 65207710713600. Its totient is φ = 2875932573696.

The previous prime is 14529742030411. The next prime is 14529742030457. The reversal of 14529742030440 is 4403024792541.

14529742030440 is a `hidden beast` number, since 1 + 4 + 52 + 97 + 42 + 0 + 30 + 440 = 666.

14529742030440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14529742030440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13293450534 + ... + 13293451626.

It is an arithmetic number, because the mean of its divisors is an integer number (28301957775).

Almost surely, 2^{14529742030440} is an apocalyptic number.

14529742030440 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 14529742030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32603855356800).

14529742030440 is an abundant number, since it is smaller than the sum of its proper divisors (50677968683160).

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

14529742030440 is a wasteful number, since it uses less digits than its factorization.

14529742030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 14529742030440 in words is "fourteen trillion, five hundred twenty-nine billion, seven hundred forty-two million, thirty thousand, four hundred forty".