1945579741380 has 960 divisors, whose sum is σ = 7218554112000. Its totient is φ = 433400647680.

The previous prime is 1945579741337. The next prime is 1945579741387. The reversal of 1945579741380 is 831479755491.

1945579741380 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 57 + 97 + 413 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (1945579741387) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3556818267 + ... + 3556818813.

It is an arithmetic number, because the mean of its divisors is an integer number (7519327200).

Almost surely, 2^{1945579741380} is an apocalyptic number.

1945579741380 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 1945579741380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609277056000).

1945579741380 is an abundant number, since it is smaller than the sum of its proper divisors (5272974370620).

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

1945579741380 is a wasteful number, since it uses less digits than its factorization.

1945579741380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 1945579741380 in words is "one trillion, nine hundred forty-five billion, five hundred seventy-nine million, seven hundred forty-one thousand, three hundred eighty".