1252451024040 has 256 divisors, whose sum is σ = 3831693465600. Its totient is φ = 327456230400.

The previous prime is 1252451024029. The next prime is 1252451024059. The reversal of 1252451024040 is 404201542521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1252451023989 and 1252451024007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1147983895 + ... + 1147984985.

It is an arithmetic number, because the mean of its divisors is an integer number (14967552600).

Almost surely, 2^{1252451024040} is an apocalyptic number.

1252451024040 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 1252451024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915846732800).

1252451024040 is an abundant number, since it is smaller than the sum of its proper divisors (2579242441560).

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

1252451024040 is a wasteful number, since it uses less digits than its factorization.

1252451024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1252451024040 its reverse (404201542521), we get a palindrome (1656652566561).

The spelling of 1252451024040 in words is "one trillion, two hundred fifty-two billion, four hundred fifty-one million, twenty-four thousand, forty".