25451354005440 has 336 divisors, whose sum is σ = 90988479338400. Its totient is φ = 6019535667200.

The previous prime is 25451354005403. The next prime is 25451354005447. The reversal of 25451354005440 is 4450045315452.

It is a junction number, because it is equal to n+sod(n) for n = 25451354005392 and 25451354005401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25451354005447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090536 + ... + 7434584.

It is an arithmetic number, because the mean of its divisors is an integer number (270799045650).

Almost surely, 2^{25451354005440} is an apocalyptic number.

25451354005440 is a gapful number since it is divisible by the number (20) 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 25451354005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45494239669200).

25451354005440 is an abundant number, since it is smaller than the sum of its proper divisors (65537125332960).

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

25451354005440 is a wasteful number, since it uses less digits than its factorization.

25451354005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344132 (or 5344111 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 25451354005440 in words is "twenty-five trillion, four hundred fifty-one billion, three hundred fifty-four million, five thousand, four hundred forty".