1971871698240 has 280 divisors, whose sum is σ = 7383469774560. Its totient is φ = 498156936192.

The previous prime is 1971871698239. The next prime is 1971871698257. The reversal of 1971871698240 is 428961781791.

It is a super-4 number, since 4×1971871698240⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1509502 + ... + 2494461.

Almost surely, 2^{1971871698240} is an apocalyptic number.

1971871698240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1971871698240 is an abundant number, since it is smaller than the sum of its proper divisors (5411598076320).

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

1971871698240 is a wasteful number, since it uses less digits than its factorization.

1971871698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004011 (or 4003992 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 1971871698240 in words is "one trillion, nine hundred seventy-one billion, eight hundred seventy-one million, six hundred ninety-eight thousand, two hundred forty".