1945041120 has 432 divisors, whose sum is σ = 7607461680. Its totient is φ = 463795200.

The previous prime is 1945041113. The next prime is 1945041121. The reversal of 1945041120 is 211405491.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945041121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31885890 + ... + 31885950.

It is an arithmetic number, because the mean of its divisors is an integer number (17609865).

Almost surely, 2^1945041120 is an apocalyptic number.

1945041120 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 1945041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803730840).

1945041120 is an abundant number, since it is smaller than the sum of its proper divisors (5662420560).

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

1945041120 is a wasteful number, since it uses less digits than its factorization.

1945041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1945041120 is about 44102.6203303160. The cubic root of 1945041120 is about 1248.2730541585.

The spelling of 1945041120 in words is "one billion, nine hundred forty-five million, forty-one thousand, one hundred twenty".