1973400993792 has 576 divisors, whose sum is σ = 6052022510040. Its totient is φ = 643252617216.

The previous prime is 1973400993787. The next prime is 1973400993793. The reversal of 1973400993792 is 2973990043791.

1973400993792 is a `hidden beast` number, since 1 + 9 + 73 + 400 + 9 + 93 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1973400993792² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973400993793) 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 35 ways as a sum of consecutive naturals, for example, 14404386748 + ... + 14404386884.

Almost surely, 2^{1973400993792} is an apocalyptic number.

1973400993792 is a gapful number since it is divisible by the number (12) 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 1973400993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026011255020).

1973400993792 is an abundant number, since it is smaller than the sum of its proper divisors (4078621516248).

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

1973400993792 is an frugal number, since it uses more digits than its factorization.

1973400993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 1973400993792 in words is "one trillion, nine hundred seventy-three billion, four hundred million, nine hundred ninety-three thousand, seven hundred ninety-two".