1253405040000 has 480 divisors, whose sum is σ = 4207770738600. Its totient is φ = 330473472000.

The previous prime is 1253405039989. The next prime is 1253405040031. The reversal of 1253405040000 is 405043521.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3064559796 + ... + 3064560204.

Almost surely, 2^{1253405040000} is an apocalyptic number.

1253405040000 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 1253405040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103885369300).

1253405040000 is an abundant number, since it is smaller than the sum of its proper divisors (2954365698600).

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

1253405040000 is an frugal number, since it uses more digits than its factorization.

1253405040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 1253405040000 in words is "one trillion, two hundred fifty-three billion, four hundred five million, forty thousand".