1641277048320 has 1920 divisors, whose sum is σ = 7307332800768. Its totient is φ = 331245158400.

The previous prime is 1641277048319. The next prime is 1641277048349. The reversal of 1641277048320 is 238407721461.

1641277048320 is a `hidden beast` number, since 1 + 64 + 1 + 27 + 70 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1641277048320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5243696484 + ... + 5243696796.

Almost surely, 2^{1641277048320} is an apocalyptic number.

1641277048320 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 1641277048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653666400384).

1641277048320 is an abundant number, since it is smaller than the sum of its proper divisors (5666055752448).

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

1641277048320 is a wasteful number, since it uses less digits than its factorization.

1641277048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1641277048320 in words is "one trillion, six hundred forty-one billion, two hundred seventy-seven million, forty-eight thousand, three hundred twenty".