1252449527040 has 1008 divisors, whose sum is σ = 4852984006080. Its totient is φ = 308511866880.

The previous prime is 1252449527027. The next prime is 1252449527053. The reversal of 1252449527040 is 407259442521.

1252449527040 is a `hidden beast` number, since 1 + 2 + 52 + 4 + 495 + 2 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1252449527027) and next prime (1252449527053).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 726899619 + ... + 726901341.

It is an arithmetic number, because the mean of its divisors is an integer number (4814468260).

Almost surely, 2^{1252449527040} is an apocalyptic number.

1252449527040 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 1252449527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426492003040).

1252449527040 is an abundant number, since it is smaller than the sum of its proper divisors (3600534479040).

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

1252449527040 is an equidigital number, since it uses as much as digits as its factorization.

1252449527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1252449527040 in words is "one trillion, two hundred fifty-two billion, four hundred forty-nine million, five hundred twenty-seven thousand, forty".