401235120000 has 1600 divisors, whose sum is σ = 1757015512560. Its totient is φ = 89579520000.

The previous prime is 401235119993. The next prime is 401235120001. The reversal of 401235120000 is 21532104.

401235120000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401235120001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 926639784 + ... + 926640216.

Almost surely, 2^401235120000 is an apocalyptic number.

401235120000 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 401235120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878507756280).

401235120000 is an abundant number, since it is smaller than the sum of its proper divisors (1355780392560).

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

401235120000 is a wasteful number, since it uses less digits than its factorization.

401235120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 401235120000 its reverse (21532104), we get a palindrome (401256652104).

The spelling of 401235120000 in words is "four hundred one billion, two hundred thirty-five million, one hundred twenty thousand".