402224033000 has 64 divisors (see below), whose sum is σ = 941795871120. Its totient is φ = 160788480000.

The previous prime is 402224032957. The next prime is 402224033033. The reversal of 402224033000 is 330422204.

It can be written as a sum of positive squares in 8 ways, for example, as 108869642116 + 293354390884 = 329954^2 + 541622^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475384 + ... + 1726616.

Almost surely, 2^402224033000 is an apocalyptic number.

402224033000 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 402224033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470897935560).

402224033000 is an abundant number, since it is smaller than the sum of its proper divisors (539571838120).

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

402224033000 is a wasteful number, since it uses less digits than its factorization.

402224033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252855 (or 252841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 402224033000 its reverse (330422204), we get a palindrome (402554455204).

The spelling of 402224033000 in words is "four hundred two billion, two hundred twenty-four million, thirty-three thousand".