4268161990456 has 384 divisors, whose sum is σ = 10417793218560. Its totient is φ = 1624076697600.

The previous prime is 4268161990429. The next prime is 4268161990507. The reversal of 4268161990456 is 6540991618624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 4268161990394 and 4268161990403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881945236 + ... + 2881946716.

It is an arithmetic number, because the mean of its divisors is an integer number (27129669840).

Almost surely, 2^{4268161990456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268161990456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208896609280).

4268161990456 is an abundant number, since it is smaller than the sum of its proper divisors (6149631228104).

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

4268161990456 is a wasteful number, since it uses less digits than its factorization.

4268161990456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 4268161990456 in words is "four trillion, two hundred sixty-eight billion, one hundred sixty-one million, nine hundred ninety thousand, four hundred fifty-six".