402013314000 has 320 divisors, whose sum is σ = 1524816334080. Its totient is φ = 100897228800.

The previous prime is 402013313971. The next prime is 402013314013. The reversal of 402013314000 is 413310204.

It is a super-2 number, since 2×402013314000² (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 63 ways as a sum of consecutive naturals, for example, 699039 + ... + 1136961.

It is an arithmetic number, because the mean of its divisors is an integer number (4765051044).

Almost surely, 2^402013314000 is an apocalyptic number.

402013314000 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 402013314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762408167040).

402013314000 is an abundant number, since it is smaller than the sum of its proper divisors (1122803020080).

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

402013314000 is a wasteful number, since it uses less digits than its factorization.

402013314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437972 (or 437950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 402013314000 its reverse (413310204), we get a palindrome (402426624204).

The spelling of 402013314000 in words is "four hundred two billion, thirteen million, three hundred fourteen thousand".