1741620061440 has 1080 divisors, whose sum is σ = 7631241377760. Its totient is φ = 377111863296.

The previous prime is 1741620061387. The next prime is 1741620061451. The reversal of 1741620061440 is 441600261471.

It is a happy number.

1741620061440 is a `hidden beast` number, since 1 + 7 + 4 + 1 + 6 + 200 + 6 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 1741620061395 and 1741620061404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96517059 + ... + 96535101.

Almost surely, 2^{1741620061440} is an apocalyptic number.

1741620061440 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 1741620061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815620688880).

1741620061440 is an abundant number, since it is smaller than the sum of its proper divisors (5889621316320).

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

1741620061440 is a wasteful number, since it uses less digits than its factorization.

1741620061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1741620061440 in words is "one trillion, seven hundred forty-one billion, six hundred twenty million, sixty-one thousand, four hundred forty".