1025461024400 has 120 divisors (see below), whose sum is σ = 2521619870880. Its totient is φ = 400541137920.

The previous prime is 1025461024363. The next prime is 1025461024403. The reversal of 1025461024400 is 44201645201.

It is not an unprimeable number, because it can be changed into a prime (1025461024403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122614619 + ... + 122622981.

It is an arithmetic number, because the mean of its divisors is an integer number (21013498924).

Almost surely, 2^{1025461024400} is an apocalyptic number.

1025461024400 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 1025461024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260809935440).

1025461024400 is an abundant number, since it is smaller than the sum of its proper divisors (1496158846480).

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

1025461024400 is a wasteful number, since it uses less digits than its factorization.

1025461024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15553 (or 15542 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1025461024400 its reverse (44201645201), we get a palindrome (1069662669601).

The spelling of 1025461024400 in words is "one trillion, twenty-five billion, four hundred sixty-one million, twenty-four thousand, four hundred".