1930042638720 has 1152 divisors, whose sum is σ = 7999417483200. Its totient is φ = 427234590720.

The previous prime is 1930042638707. The next prime is 1930042638721. The reversal of 1930042638720 is 278362400391.

1930042638720 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 0 + 4 + 2 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930042638721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4396452261 + ... + 4396452699.

Almost surely, 2^{1930042638720} is an apocalyptic number.

1930042638720 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 1930042638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999708741600).

1930042638720 is an abundant number, since it is smaller than the sum of its proper divisors (6069374844480).

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

1930042638720 is a wasteful number, since it uses less digits than its factorization.

1930042638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1930042638720 in words is "one trillion, nine hundred thirty billion, forty-two million, six hundred thirty-eight thousand, seven hundred twenty".