401002231504000 has 256 divisors, whose sum is σ = 1140439624496640. Its totient is φ = 137363351040000.

The previous prime is 401002231503997. The next prime is 401002231504001. The reversal of 401002231504000 is 405132200104.

It is a super-2 number, since 2×401002231504000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401002231504001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123501325 + ... + 126706675.

It is an arithmetic number, because the mean of its divisors is an integer number (4454842283190).

Almost surely, 2^{401002231504000} is an apocalyptic number.

401002231504000 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 401002231504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570219812248320).

401002231504000 is an abundant number, since it is smaller than the sum of its proper divisors (739437392992640).

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

401002231504000 is a wasteful number, since it uses less digits than its factorization.

401002231504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206504 (or 3206482 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 401002231504000 its reverse (405132200104), we get a palindrome (401407363704104).

The spelling of 401002231504000 in words is "four hundred one trillion, two billion, two hundred thirty-one million, five hundred four thousand".