1253221523040 has 192 divisors, whose sum is σ = 4180965465600. Its totient is φ = 314451025920.

The previous prime is 1253221523011. The next prime is 1253221523053. The reversal of 1253221523040 is 403251223521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1253221522989 and 1253221523007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34506811 + ... + 34543109.

It is an arithmetic number, because the mean of its divisors is an integer number (21775861800).

Almost surely, 2^{1253221523040} is an apocalyptic number.

1253221523040 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 1253221523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090482732800).

1253221523040 is an abundant number, since it is smaller than the sum of its proper divisors (2927743942560).

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

1253221523040 is a wasteful number, since it uses less digits than its factorization.

1253221523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40565 (or 40557 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1253221523040 its reverse (403251223521), we get a palindrome (1656472746561).

The spelling of 1253221523040 in words is "one trillion, two hundred fifty-three billion, two hundred twenty-one million, five hundred twenty-three thousand, forty".