1251066025040 has 320 divisors, whose sum is σ = 3479537295360. Its totient is φ = 413843619840.

The previous prime is 1251066025031. The next prime is 1251066025063. The reversal of 1251066025040 is 405206601521.

It is a junction number, because it is equal to n+sod(n) for n = 1251066024988 and 1251066025006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36385937 + ... + 36420303.

It is an arithmetic number, because the mean of its divisors is an integer number (10873554048).

Almost surely, 2^{1251066025040} is an apocalyptic number.

1251066025040 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 1251066025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739768647680).

1251066025040 is an abundant number, since it is smaller than the sum of its proper divisors (2228471270320).

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

1251066025040 is a wasteful number, since it uses less digits than its factorization.

1251066025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34510 (or 34504 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 1251066025040 in words is "one trillion, two hundred fifty-one billion, sixty-six million, twenty-five thousand, forty".