401602759128480 has 2304 divisors, whose sum is σ = 1672752178298880. Its totient is φ = 78849222377472.

The previous prime is 401602759128449. The next prime is 401602759128533. The reversal of 401602759128480 is 84821957206104.

It is a super-3 number, since 3×401602759128480³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 401602759128480.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 503893047442 + ... + 503893048238.

It is an arithmetic number, because the mean of its divisors is an integer number (726020910720).

Almost surely, 2^{401602759128480} is an apocalyptic number.

401602759128480 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 401602759128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836376089149440).

401602759128480 is an abundant number, since it is smaller than the sum of its proper divisors (1271149419170400).

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

401602759128480 is a wasteful number, since it uses less digits than its factorization.

401602759128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 401602759128480 in words is "four hundred one trillion, six hundred two billion, seven hundred fifty-nine million, one hundred twenty-eight thousand, four hundred eighty".