1897970738400 has 432 divisors, whose sum is σ = 7420858190928. Its totient is φ = 452570112000.

The previous prime is 1897970738353. The next prime is 1897970738407. The reversal of 1897970738400 is 48370797981.

1897970738400 is a `hidden beast` number, since 1 + 8 + 97 + 9 + 70 + 73 + 8 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1897970738407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4634772 + ... + 5027628.

It is an arithmetic number, because the mean of its divisors is an integer number (17177912479).

Almost surely, 2^{1897970738400} is an apocalyptic number.

1897970738400 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 1897970738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710429095464).

1897970738400 is an abundant number, since it is smaller than the sum of its proper divisors (5522887452528).

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

1897970738400 is a wasteful number, since it uses less digits than its factorization.

1897970738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392955 (or 392939 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 1897970738400 in words is "one trillion, eight hundred ninety-seven billion, nine hundred seventy million, seven hundred thirty-eight thousand, four hundred".