401738112000 has 264 divisors, whose sum is σ = 1447696731312. Its totient is φ = 107129856000.

The previous prime is 401738111993. The next prime is 401738112049. The reversal of 401738112000 is 211837104.

It is a super-2 number, since 2×401738112000² (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, 977635 + ... + 1326365.

Almost surely, 2^401738112000 is an apocalyptic number.

401738112000 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 401738112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723848365656).

401738112000 is an abundant number, since it is smaller than the sum of its proper divisors (1045958619312).

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

401738112000 is a wasteful number, since it uses less digits than its factorization.

401738112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348772 (or 348741 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 401738112000 its reverse (211837104), we get a palindrome (401949949104).

The spelling of 401738112000 in words is "four hundred one billion, seven hundred thirty-eight million, one hundred twelve thousand".