1025417245400 has 96 divisors (see below), whose sum is σ = 2435288328000. Its totient is φ = 401362821120.

The previous prime is 1025417245393. The next prime is 1025417245403. The reversal of 1025417245400 is 45427145201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025417245403) 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, 90506936 + ... + 90518264.

It is an arithmetic number, because the mean of its divisors is an integer number (25367586750).

Almost surely, 2^{1025417245400} is an apocalyptic number.

1025417245400 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 1025417245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217644164000).

1025417245400 is an abundant number, since it is smaller than the sum of its proper divisors (1409871082600).

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

1025417245400 is a wasteful number, since it uses less digits than its factorization.

1025417245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21021 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The spelling of 1025417245400 in words is "one trillion, twenty-five billion, four hundred seventeen million, two hundred forty-five thousand, four hundred".