401630190400 has 168 divisors, whose sum is σ = 1015363512576. Its totient is φ = 156287539200.

The previous prime is 401630190359. The next prime is 401630190461. The reversal of 401630190400 is 4091036104.

It is a super-2 number, since 2×401630190400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12542410 + ... + 12574390.

It is an arithmetic number, because the mean of its divisors is an integer number (6043830432).

Almost surely, 2^401630190400 is an apocalyptic number.

401630190400 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 401630190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507681756288).

401630190400 is an abundant number, since it is smaller than the sum of its proper divisors (613733322176).

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

401630190400 is a wasteful number, since it uses less digits than its factorization.

401630190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32217 (or 32202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 401630190400 in words is "four hundred one billion, six hundred thirty million, one hundred ninety thousand, four hundred".