2553335041440 has 48 divisors (see below), whose sum is σ = 8043005382048. Its totient is φ = 680889344256.

The previous prime is 2553335041429. The next prime is 2553335041471. The reversal of 2553335041440 is 441405333552.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659723522 + ... + 2659724481.

It is an arithmetic number, because the mean of its divisors is an integer number (167562612126).

Almost surely, 2^{2553335041440} is an apocalyptic number.

2553335041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553335041440 is an abundant number, since it is smaller than the sum of its proper divisors (5489670340608).

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

2553335041440 is a wasteful number, since it uses less digits than its factorization.

2553335041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319448021 (or 5319448013 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 2553335041440 in words is "two trillion, five hundred fifty-three billion, three hundred thirty-five million, forty-one thousand, four hundred forty".