54251310001440 has 192 divisors, whose sum is σ = 174559744396800. Its totient is φ = 14156600832000.

The previous prime is 54251310001433. The next prime is 54251310001489. The reversal of 54251310001440 is 4410001315245.

54251310001440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54251310001398 and 54251310001407.

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 31 ways as a sum of consecutive naturals, for example, 123883986 + ... + 124321134.

It is an arithmetic number, because the mean of its divisors is an integer number (909165335400).

Almost surely, 2^{54251310001440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54251310001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87279872198400).

54251310001440 is an abundant number, since it is smaller than the sum of its proper divisors (120308434395360).

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

54251310001440 is a wasteful number, since it uses less digits than its factorization.

54251310001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442715 (or 442707 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 54251310001440 its reverse (4410001315245), we get a palindrome (58661311316685).

The spelling of 54251310001440 in words is "fifty-four trillion, two hundred fifty-one billion, three hundred ten million, one thousand, four hundred forty".