1971148800 has 288 divisors, whose sum is σ = 6696602640. Its totient is φ = 511180800.

The previous prime is 1971148769. The next prime is 1971148807. The reversal of 1971148800 is 88411791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971148807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6297444 + ... + 6297756.

Almost surely, 2^1971148800 is an apocalyptic number.

1971148800 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 1971148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348301320).

1971148800 is an abundant number, since it is smaller than the sum of its proper divisors (4725453840).

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

1971148800 is a wasteful number, since it uses less digits than its factorization.

1971148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 1971148800 is about 44397.6215579168. The cubic root of 1971148800 is about 1253.8333099049.

The spelling of 1971148800 in words is "one billion, nine hundred seventy-one million, one hundred forty-eight thousand, eight hundred".