1946241097920 has 1008 divisors, whose sum is σ = 7908547503168. Its totient is φ = 437979709440.

The previous prime is 1946241097907. The next prime is 1946241097921. The reversal of 1946241097920 is 297901426491.

1946241097920 is a `hidden beast` number, since 1 + 9 + 4 + 624 + 1 + 0 + 9 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1946241097920² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1946241097921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3735587260 + ... + 3735587780.

Almost surely, 2^{1946241097920} is an apocalyptic number.

1946241097920 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 1946241097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954273751584).

1946241097920 is an abundant number, since it is smaller than the sum of its proper divisors (5962306405248).

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

1946241097920 is a wasteful number, since it uses less digits than its factorization.

1946241097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1946241097920 in words is "one trillion, nine hundred forty-six billion, two hundred forty-one million, ninety-seven thousand, nine hundred twenty".