1825124970240 has 3240 divisors, whose sum is σ = 8421940162944. Its totient is φ = 374442393600.

The previous prime is 1825124970197. The next prime is 1825124970247. The reversal of 1825124970240 is 420794215281.

1825124970240 is a `hidden beast` number, since 1 + 8 + 2 + 512 + 4 + 97 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825124970247) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 58874999025 + ... + 58874999055.

Almost surely, 2^{1825124970240} is an apocalyptic number.

1825124970240 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 1825124970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210970081472).

1825124970240 is an abundant number, since it is smaller than the sum of its proper divisors (6596815192704).

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

1825124970240 is a wasteful number, since it uses less digits than its factorization.

1825124970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1825124970240 in words is "one trillion, eight hundred twenty-five billion, one hundred twenty-four million, nine hundred seventy thousand, two hundred forty".