1253194740000 has 960 divisors, whose sum is σ = 5285709031680. Its totient is φ = 286374528000.

The previous prime is 1253194739933. The next prime is 1253194740001. The reversal of 1253194740000 is 474913521.

1253194740000 is a `hidden beast` number, since 12 + 53 + 194 + 7 + 400 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1253194740001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 306177954 + ... + 306182046.

It is an arithmetic number, because the mean of its divisors is an integer number (5505946908).

Almost surely, 2^{1253194740000} is an apocalyptic number.

1253194740000 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 1253194740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642854515840).

1253194740000 is an abundant number, since it is smaller than the sum of its proper divisors (4032514291680).

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

1253194740000 is an frugal number, since it uses more digits than its factorization.

1253194740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1253194740000 in words is "one trillion, two hundred fifty-three billion, one hundred ninety-four million, seven hundred forty thousand".