401432607257728 has 64 divisors (see below), whose sum is σ = 819456002762040. Its totient is φ = 195767864320000.

The previous prime is 401432607257719. The next prime is 401432607257729. The reversal of 401432607257728 is 827752706234104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 170939726169664 + 230492881088064 = 13074392^2 + 15181992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×401432607257728² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401432607257729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9088818 + ... + 29756878.

Almost surely, 2^{401432607257728} 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 401432607257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409728001381020).

401432607257728 is an abundant number, since it is smaller than the sum of its proper divisors (418023395504312).

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

401432607257728 is a wasteful number, since it uses less digits than its factorization.

401432607257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20671817 (or 20671805 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 58.

The spelling of 401432607257728 in words is "four hundred one trillion, four hundred thirty-two billion, six hundred seven million, two hundred fifty-seven thousand, seven hundred twenty-eight".