401329430632 has 128 divisors (see below), whose sum is σ = 844044364800. Its totient is φ = 177719270400.

The previous prime is 401329430629. The next prime is 401329430651. The reversal of 401329430632 is 236034923104.

It is a super-2 number, since 2×401329430632² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401329430591 and 401329430600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62812494 + ... + 62818882.

It is an arithmetic number, because the mean of its divisors is an integer number (6594096600).

Almost surely, 2^401329430632 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 401329430632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422022182400).

401329430632 is an abundant number, since it is smaller than the sum of its proper divisors (442714934168).

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

401329430632 is a wasteful number, since it uses less digits than its factorization.

401329430632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 401329430632 in words is "four hundred one billion, three hundred twenty-nine million, four hundred thirty thousand, six hundred thirty-two".