1225153041440 has 192 divisors, whose sum is σ = 2969905720320. Its totient is φ = 477468794880.

The previous prime is 1225153041407. The next prime is 1225153041457. The reversal of 1225153041440 is 441403515221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1225153041397 and 1225153041406.

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 31 ways as a sum of consecutive naturals, for example, 573304052 + ... + 573306188.

It is an arithmetic number, because the mean of its divisors is an integer number (15468258960).

Almost surely, 2^{1225153041440} is an apocalyptic number.

1225153041440 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 1225153041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484952860160).

1225153041440 is an abundant number, since it is smaller than the sum of its proper divisors (1744752678880).

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

1225153041440 is a wasteful number, since it uses less digits than its factorization.

1225153041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 1225153041440 its reverse (441403515221), we get a palindrome (1666556556661).

The spelling of 1225153041440 in words is "one trillion, two hundred twenty-five billion, one hundred fifty-three million, forty-one thousand, four hundred forty".