1019741445000 has 240 divisors, whose sum is σ = 3454643332140. Its totient is φ = 271655424000.

The previous prime is 1019741444893. The next prime is 1019741445101. The reversal of 1019741445000 is 5441479101.

1019741445000 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 4 + 144 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 29362193316 + 990379251684 = 171354^2 + 995178^2 .

It is a super-2 number, since 2×1019741445000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46474032 + ... + 46495968.

Almost surely, 2^{1019741445000} is an apocalyptic number.

1019741445000 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 1019741445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727321666070).

1019741445000 is an abundant number, since it is smaller than the sum of its proper divisors (2434901887140).

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

1019741445000 is a wasteful number, since it uses less digits than its factorization.

1019741445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23002 (or 22980 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1019741445000 in words is "one trillion, nineteen billion, seven hundred forty-one million, four hundred forty-five thousand".