1025242829184 has 256 divisors, whose sum is σ = 3135946752000. Its totient is φ = 290712913920.

The previous prime is 1025242829179. The next prime is 1025242829197. The reversal of 1025242829184 is 4819282425201.

It is a super-2 number, since 2×1025242829184² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230544849 + ... + 230549295.

It is an arithmetic number, because the mean of its divisors is an integer number (12249792000).

Almost surely, 2^{1025242829184} is an apocalyptic number.

1025242829184 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 1025242829184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567973376000).

1025242829184 is an abundant number, since it is smaller than the sum of its proper divisors (2110703922816).

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

1025242829184 is a wasteful number, since it uses less digits than its factorization.

1025242829184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 1025242829184 in words is "one trillion, twenty-five billion, two hundred forty-two million, eight hundred twenty-nine thousand, one hundred eighty-four".