1641257200880 has 80 divisors (see below), whose sum is σ = 4164912000000. Its totient is φ = 596521601280.

The previous prime is 1641257200867. The next prime is 1641257200883. The reversal of 1641257200880 is 880027521461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641257200883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292621 + ... + 2225619.

It is an arithmetic number, because the mean of its divisors is an integer number (52061400000).

Almost surely, 2^{1641257200880} is an apocalyptic number.

1641257200880 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 1641257200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082456000000).

1641257200880 is an abundant number, since it is smaller than the sum of its proper divisors (2523654799120).

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

1641257200880 is a wasteful number, since it uses less digits than its factorization.

1641257200880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935022 (or 935016 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 1641257200880 in words is "one trillion, six hundred forty-one billion, two hundred fifty-seven million, two hundred thousand, eight hundred eighty".