1025743530240 has 2304 divisors, whose sum is σ = 4695130137600. Its totient is φ = 208089907200.

The previous prime is 1025743530103. The next prime is 1025743530293. The reversal of 1025743530240 is 420353475201.

1025743530240 is a `hidden beast` number, since 1 + 0 + 2 + 574 + 35 + 30 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1025743530195 and 1025743530204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2436445230 + ... + 2436445650.

It is an arithmetic number, because the mean of its divisors is an integer number (2037816900).

Almost surely, 2^{1025743530240} is an apocalyptic number.

1025743530240 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 1025743530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347565068800).

1025743530240 is an abundant number, since it is smaller than the sum of its proper divisors (3669386607360).

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

1025743530240 is a wasteful number, since it uses less digits than its factorization.

1025743530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 1025743530240 in words is "one trillion, twenty-five billion, seven hundred forty-three million, five hundred thirty thousand, two hundred forty".