1019201641920 has 4032 divisors, whose sum is σ = 5231737405440. Its totient is φ = 182742220800.

The previous prime is 1019201641819. The next prime is 1019201641943. The reversal of 1019201641920 is 291461029101.

It is a happy number.

1019201641920 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 2 + 0 + 1 + 641 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32877472305 + ... + 32877472335.

It is an arithmetic number, because the mean of its divisors is an integer number (1297553920).

Almost surely, 2^{1019201641920} is an apocalyptic number.

1019201641920 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 1019201641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615868702720).

1019201641920 is an abundant number, since it is smaller than the sum of its proper divisors (4212535763520).

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

1019201641920 is a wasteful number, since it uses less digits than its factorization.

1019201641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1019201641920 in words is "one trillion, nineteen billion, two hundred one million, six hundred forty-one thousand, nine hundred twenty".