403121996160 has 512 divisors, whose sum is σ = 1445872619520. Its totient is φ = 94856970240.

The previous prime is 403121996143. The next prime is 403121996231. The reversal of 403121996160 is 61699121304.

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 63 ways as a sum of consecutive naturals, for example, 64218942 + ... + 64225218.

It is an arithmetic number, because the mean of its divisors is an integer number (2823969960).

Almost surely, 2^403121996160 is an apocalyptic number.

403121996160 is a gapful number since it is divisible by the number (40) 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 403121996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722936309760).

403121996160 is an abundant number, since it is smaller than the sum of its proper divisors (1042750623360).

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

403121996160 is a wasteful number, since it uses less digits than its factorization.

403121996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 403121996160 in words is "four hundred three billion, one hundred twenty-one million, nine hundred ninety-six thousand, one hundred sixty".