1025495400384 has 672 divisors, whose sum is σ = 3706311038976. Its totient is φ = 263874723840.

The previous prime is 1025495400383. The next prime is 1025495400403. The reversal of 1025495400384 is 4830045945201.

1025495400384 is a `hidden beast` number, since 1 + 0 + 25 + 4 + 9 + 540 + 0 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025495400383) 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, 1347562564 + ... + 1347563324.

It is an arithmetic number, because the mean of its divisors is an integer number (5515343808).

Almost surely, 2^{1025495400384} is an apocalyptic number.

1025495400384 is a gapful number since it is divisible by the number (14) 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 1025495400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853155519488).

1025495400384 is an abundant number, since it is smaller than the sum of its proper divisors (2680815638592).

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

1025495400384 is a wasteful number, since it uses less digits than its factorization.

1025495400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1025495400384 in words is "one trillion, twenty-five billion, four hundred ninety-five million, four hundred thousand, three hundred eighty-four".