1251140567040 has 2160 divisors, whose sum is σ = 5771136865032. Its totient is φ = 256842399744.

The previous prime is 1251140566957. The next prime is 1251140567041. The reversal of 1251140567040 is 407650411521.

1251140567040 is a `hidden beast` number, since 1 + 2 + 5 + 11 + 40 + 567 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1032386052096 + 218754514944 = 1016064^2 + 467712^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1251140566986 and 1251140567004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251140567041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33814609902 + ... + 33814609938.

Almost surely, 2^{1251140567040} is an apocalyptic number.

1251140567040 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 1251140567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885568432516).

1251140567040 is an abundant number, since it is smaller than the sum of its proper divisors (4519996297992).

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

1251140567040 is an frugal number, since it uses more digits than its factorization.

1251140567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 1251140567040 its reverse (407650411521), we get a palindrome (1658790978561).

The spelling of 1251140567040 in words is "one trillion, two hundred fifty-one billion, one hundred forty million, five hundred sixty-seven thousand, forty".