1025435400000 has 672 divisors, whose sum is σ = 3720226890240. Its totient is φ = 247200000000.

The previous prime is 1025435399957. The next prime is 1025435400001. The reversal of 1025435400000 is 45345201.

1025435400000 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025435400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1656599691 + ... + 1656600309.

It is an arithmetic number, because the mean of its divisors is an integer number (5536051920).

Almost surely, 2^{1025435400000} is an apocalyptic number.

1025435400000 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 1025435400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860113445120).

1025435400000 is an abundant number, since it is smaller than the sum of its proper divisors (2694791490240).

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

1025435400000 is an equidigital number, since it uses as much as digits as its factorization.

1025435400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 1025435400000 in words is "one trillion, twenty-five billion, four hundred thirty-five million, four hundred thousand".