401321142000 has 400 divisors, whose sum is σ = 1534882912992. Its totient is φ = 100723046400.

The previous prime is 401321141993. The next prime is 401321142023. The reversal of 401321142000 is 241123104.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×401321142000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2681139 + ... + 2826861.

Almost surely, 2^401321142000 is an apocalyptic number.

401321142000 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 401321142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767441456496).

401321142000 is an abundant number, since it is smaller than the sum of its proper divisors (1133561770992).

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

401321142000 is a wasteful number, since it uses less digits than its factorization.

401321142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145775 (or 145750 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 401321142000 its reverse (241123104), we get a palindrome (401562265104).

The spelling of 401321142000 in words is "four hundred one billion, three hundred twenty-one million, one hundred forty-two thousand".