1975807443456 has 480 divisors, whose sum is σ = 7168289521536. Its totient is φ = 513185587200.

The previous prime is 1975807443433. The next prime is 1975807443469. The reversal of 1975807443456 is 6543447085791.

1975807443456 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 80 + 74 + 434 + 56 = 666.

It is a super-2 number, since 2×1975807443456² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1975807443393 and 1975807443402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42909726 + ... + 42955746.

Almost surely, 2^{1975807443456} is an apocalyptic number.

1975807443456 is a gapful number since it is divisible by the number (16) 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 1975807443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584144760768).

1975807443456 is an abundant number, since it is smaller than the sum of its proper divisors (5192482078080).

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

1975807443456 is an equidigital number, since it uses as much as digits as its factorization.

1975807443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46085 (or 46044 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 1975807443456 in words is "one trillion, nine hundred seventy-five billion, eight hundred seven million, four hundred forty-three thousand, four hundred fifty-six".