1971695053440 has 1920 divisors, whose sum is σ = 8595908766720. Its totient is φ = 430160855040.

The previous prime is 1971695053403. The next prime is 1971695053457. The reversal of 1971695053440 is 443505961791.

1971695053440 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 69 + 5 + 0 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27009521244 + ... + 27009521316.

It is an arithmetic number, because the mean of its divisors is an integer number (4477035816).

Almost surely, 2^{1971695053440} is an apocalyptic number.

1971695053440 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 1971695053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297954383360).

1971695053440 is an abundant number, since it is smaller than the sum of its proper divisors (6624213713280).

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

1971695053440 is an frugal number, since it uses more digits than its factorization.

1971695053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1971695053440 in words is "one trillion, nine hundred seventy-one billion, six hundred ninety-five million, fifty-three thousand, four hundred forty".