1971406260480 has 72 divisors (see below), whose sum is σ = 6296178756672. Its totient is φ = 525708335104.

The previous prime is 1971406260451. The next prime is 1971406260497. The reversal of 1971406260480 is 840626041791.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256689684 + ... + 256697363.

It is an arithmetic number, because the mean of its divisors is an integer number (87446927176).

Almost surely, 2^{1971406260480} is an apocalyptic number.

1971406260480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1971406260480 is an abundant number, since it is smaller than the sum of its proper divisors (4324772496192).

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

1971406260480 is an equidigital number, since it uses as much as digits as its factorization.

1971406260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513387071 (or 513387057 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1971406260480 in words is "one trillion, nine hundred seventy-one billion, four hundred six million, two hundred sixty thousand, four hundred eighty".