1025526474400 has 144 divisors (see below), whose sum is σ = 2636470317600. Its totient is φ = 388452879360.

The previous prime is 1025526474397. The next prime is 1025526474407. The reversal of 1025526474400 is 44746255201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1025526474407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38579514 + ... + 38606086.

It is an arithmetic number, because the mean of its divisors is an integer number (18308821650).

Almost surely, 2^{1025526474400} is an apocalyptic number.

1025526474400 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 1025526474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318235158800).

1025526474400 is an abundant number, since it is smaller than the sum of its proper divisors (1610943843200).

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

1025526474400 is a wasteful number, since it uses less digits than its factorization.

1025526474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29151 (or 29138 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 1025526474400 in words is "one trillion, twenty-five billion, five hundred twenty-six million, four hundred seventy-four thousand, four hundred".