401329701024 has 192 divisors, whose sum is σ = 1284548170752. Its totient is φ = 107096371200.

The previous prime is 401329701011. The next prime is 401329701089. The reversal of 401329701024 is 420107923104.

It is a super-2 number, since 2×401329701024² (a number of 24 digits) contains 22 as substring.

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, 1362459 + ... + 1630629.

It is an arithmetic number, because the mean of its divisors is an integer number (6690355056).

Almost surely, 2^401329701024 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 401329701024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642274085376).

401329701024 is an abundant number, since it is smaller than the sum of its proper divisors (883218469728).

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

401329701024 is a wasteful number, since it uses less digits than its factorization.

401329701024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268339 (or 268331 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 401329701024 in words is "four hundred one billion, three hundred twenty-nine million, seven hundred one thousand, twenty-four".