1253499287040 has 3360 divisors, whose sum is σ = 6195957058368. Its totient is φ = 236489932800.

The previous prime is 1253499287017. The next prime is 1253499287041. The reversal of 1253499287040 is 407829943521.

1253499287040 is a `hidden beast` number, since 1 + 25 + 3 + 499 + 28 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253499287041) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 20549168610 + ... + 20549168670.

Almost surely, 2^{1253499287040} is an apocalyptic number.

1253499287040 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 1253499287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097978529184).

1253499287040 is an abundant number, since it is smaller than the sum of its proper divisors (4942457771328).

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

1253499287040 is an equidigital number, since it uses as much as digits as its factorization.

1253499287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1253499287040 in words is "one trillion, two hundred fifty-three billion, four hundred ninety-nine million, two hundred eighty-seven thousand, forty".