1971230546400 has 144 divisors (see below), whose sum is σ = 6417357012864. Its totient is φ = 525579425280.

The previous prime is 1971230546347. The next prime is 1971230546503. The reversal of 1971230546400 is 46450321791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16170477 + ... + 16291923.

It is an arithmetic number, because the mean of its divisors is an integer number (44564979256).

Almost surely, 2^{1971230546400} is an apocalyptic number.

1971230546400 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 1971230546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208678506432).

1971230546400 is an abundant number, since it is smaller than the sum of its proper divisors (4446126466464).

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

1971230546400 is a wasteful number, since it uses less digits than its factorization.

1971230546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128233 (or 128220 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1971230546400 in words is "one trillion, nine hundred seventy-one billion, two hundred thirty million, five hundred forty-six thousand, four hundred".