1251257506240 has 448 divisors, whose sum is σ = 3768616938240. Its totient is φ = 385792081920.

The previous prime is 1251257506193. The next prime is 1251257506241. The reversal of 1251257506240 is 426057521521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1251257506193 and 1251257506202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251257506241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107113200 + ... + 107124880.

It is an arithmetic number, because the mean of its divisors is an integer number (8412091380).

Almost surely, 2^{1251257506240} is an apocalyptic number.

1251257506240 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 1251257506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884308469120).

1251257506240 is an abundant number, since it is smaller than the sum of its proper divisors (2517359432000).

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

1251257506240 is a wasteful number, since it uses less digits than its factorization.

1251257506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 1251257506240 in words is "one trillion, two hundred fifty-one billion, two hundred fifty-seven million, five hundred six thousand, two hundred forty".