1655141441040 has 240 divisors, whose sum is σ = 5715285292080. Its totient is φ = 429003079680.

The previous prime is 1655141440973. The next prime is 1655141441087. The reversal of 1655141441040 is 401441415561.

1655141441040 is a `hidden beast` number, since 1 + 65 + 5 + 141 + 4 + 410 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1116555715584 + 538585725456 = 1056672^2 + 733884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1655141440986 and 1655141441004.

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 47 ways as a sum of consecutive naturals, for example, 7836664 + ... + 8045096.

It is an arithmetic number, because the mean of its divisors is an integer number (23813688717).

Almost surely, 2^{1655141441040} is an apocalyptic number.

1655141441040 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 1655141441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857642646040).

1655141441040 is an abundant number, since it is smaller than the sum of its proper divisors (4060143851040).

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

1655141441040 is a wasteful number, since it uses less digits than its factorization.

1655141441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208762 (or 208753 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1655141441040 in words is "one trillion, six hundred fifty-five billion, one hundred forty-one million, four hundred forty-one thousand, forty".