12454145440 has 96 divisors (see below), whose sum is σ = 32284054656. Its totient is φ = 4502492160.

The previous prime is 12454145393. The next prime is 12454145461. The reversal of 12454145440 is 4454145421.

It is a junction number, because it is equal to n+sod(n) for n = 12454145396 and 12454145405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284029 + ... + 324931.

It is an arithmetic number, because the mean of its divisors is an integer number (336292236).

Almost surely, 2^12454145440 is an apocalyptic number.

12454145440 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 12454145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142027328).

12454145440 is an abundant number, since it is smaller than the sum of its proper divisors (19829909216).

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

12454145440 is a wasteful number, since it uses less digits than its factorization.

12454145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41102 (or 41094 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 12454145440 in words is "twelve billion, four hundred fifty-four million, one hundred forty-five thousand, four hundred forty".