1677982127940 has 240 divisors, whose sum is σ = 5443047396864. Its totient is φ = 432282355200.

The previous prime is 1677982127849. The next prime is 1677982127959. The reversal of 1677982127940 is 497212897761.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29450680 + ... + 29507600.

Almost surely, 2^{1677982127940} is an apocalyptic number.

1677982127940 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 1677982127940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721523698432).

1677982127940 is an abundant number, since it is smaller than the sum of its proper divisors (3765065268924).

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

1677982127940 is a wasteful number, since it uses less digits than its factorization.

1677982127940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57560 (or 57549 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 1677982127940 in words is "one trillion, six hundred seventy-seven billion, nine hundred eighty-two million, one hundred twenty-seven thousand, nine hundred forty".