1025959334400 has 4320 divisors, whose sum is σ = 5305961396736. Its totient is φ = 185794560000.

The previous prime is 1025959334381. The next prime is 1025959334417. The reversal of 1025959334400 is 44339595201.

1025959334400 is a `hidden beast` number, since 1 + 0 + 2 + 59 + 593 + 3 + 4 + 4 + 0 + 0 = 666.

1025959334400 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25023398380 + ... + 25023398420.

Almost surely, 2^{1025959334400} is an apocalyptic number.

1025959334400 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 1025959334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652980698368).

1025959334400 is an abundant number, since it is smaller than the sum of its proper divisors (4280002062336).

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

1025959334400 is a wasteful number, since it uses less digits than its factorization.

1025959334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1025959334400 in words is "one trillion, twenty-five billion, nine hundred fifty-nine million, three hundred thirty-four thousand, four hundred".