1253256305040 has 480 divisors, whose sum is σ = 4695034855680. Its totient is φ = 297730473984.

The previous prime is 1253256305039. The next prime is 1253256305089. The reversal of 1253256305040 is 405036523521.

1253256305040 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 563 + 0 + 50 + 40 = 666.

It is a super-2 number, since 2×1253256305040² (a number of 25 digits) contains 22 as substring.

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 = 1253256304986 and 1253256305004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500700429 + ... + 500702931.

It is an arithmetic number, because the mean of its divisors is an integer number (9781322616).

Almost surely, 2^{1253256305040} is an apocalyptic number.

1253256305040 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 1253256305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347517427840).

1253256305040 is an abundant number, since it is smaller than the sum of its proper divisors (3441778550640).

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

1253256305040 is a wasteful number, since it uses less digits than its factorization.

1253256305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1253256305040 in words is "one trillion, two hundred fifty-three billion, two hundred fifty-six million, three hundred five thousand, forty".