402441320021000 has 256 divisors, whose sum is σ = 1043336756367360. Its totient is φ = 144331271193600.

The previous prime is 402441320020933. The next prime is 402441320021023. The reversal of 402441320021000 is 120023144204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281634329 + ... + 283059671.

It is an arithmetic number, because the mean of its divisors is an integer number (4075534204560).

Almost surely, 2^{402441320021000} is an apocalyptic number.

402441320021000 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 402441320021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521668378183680).

402441320021000 is an abundant number, since it is smaller than the sum of its proper divisors (640895436346360).

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

402441320021000 is a wasteful number, since it uses less digits than its factorization.

402441320021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426001 (or 1425987 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 402441320021000 its reverse (120023144204), we get a palindrome (402561343165204).

The spelling of 402441320021000 in words is "four hundred two trillion, four hundred forty-one billion, three hundred twenty million, twenty-one thousand".