1972461404160 has 1536 divisors, whose sum is σ = 7919010328320. Its totient is φ = 467820085248.

The previous prime is 1972461404141. The next prime is 1972461404227. The reversal of 1972461404160 is 614041642791.

1972461404160 is a `hidden beast` number, since 1 + 9 + 7 + 24 + 61 + 404 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19150110669 + ... + 19150110771.

Almost surely, 2^{1972461404160} is an apocalyptic number.

1972461404160 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 1972461404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959505164160).

1972461404160 is an abundant number, since it is smaller than the sum of its proper divisors (5946548924160).

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

1972461404160 is an equidigital number, since it uses as much as digits as its factorization.

1972461404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1972461404160 in words is "one trillion, nine hundred seventy-two billion, four hundred sixty-one million, four hundred four thousand, one hundred sixty".