1961300491920 has 2240 divisors, whose sum is σ = 9093177999360. Its totient is φ = 380936908800.

The previous prime is 1961300491919. The next prime is 1961300491967. The reversal of 1961300491920 is 291940031691.

1961300491920 is a `hidden beast` number, since 1 + 9 + 6 + 130 + 0 + 491 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 10835914230 + ... + 10835914410.

It is an arithmetic number, because the mean of its divisors is an integer number (4059454464).

Almost surely, 2^{1961300491920} is an apocalyptic number.

1961300491920 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 1961300491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546588999680).

1961300491920 is an abundant number, since it is smaller than the sum of its proper divisors (7131877507440).

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

1961300491920 is a wasteful number, since it uses less digits than its factorization.

1961300491920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1961300491920 in words is "one trillion, nine hundred sixty-one billion, three hundred million, four hundred ninety-one thousand, nine hundred twenty".