1920413642400 has 864 divisors, whose sum is σ = 7687972813248. Its totient is φ = 463922380800.

The previous prime is 1920413642393. The next prime is 1920413642423. The reversal of 1920413642400 is 42463140291.

1920413642400 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 4 + 1 + 3 + 642 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 677871384 + ... + 677874216.

It is an arithmetic number, because the mean of its divisors is an integer number (8898116682).

Almost surely, 2^{1920413642400} is an apocalyptic number.

1920413642400 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 1920413642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843986406624).

1920413642400 is an abundant number, since it is smaller than the sum of its proper divisors (5767559170848).

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

1920413642400 is a wasteful number, since it uses less digits than its factorization.

1920413642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1920413642400 its reverse (42463140291), we get a palindrome (1962876782691).

The spelling of 1920413642400 in words is "one trillion, nine hundred twenty billion, four hundred thirteen million, six hundred forty-two thousand, four hundred".