401334402 has 96 divisors (see below), whose sum is σ = 1006136640. Its totient is φ = 106014720.

The previous prime is 401334389. The next prime is 401334407. The reversal of 401334402 is 204433104.

It is a super-2 number, since 2×401334402² = 322138604457395208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (401334407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294202 + ... + 295562.

It is an arithmetic number, because the mean of its divisors is an integer number (10480590).

Almost surely, 2^401334402 is an apocalyptic number.

401334402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401334402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503068320).

401334402 is an abundant number, since it is smaller than the sum of its proper divisors (604802238).

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

401334402 is a wasteful number, since it uses less digits than its factorization.

401334402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401334402 is about 20033.3322739878. The cubic root of 401334402 is about 737.6247201501.

Adding to 401334402 its reverse (204433104), we get a palindrome (605767506).

The spelling of 401334402 in words is "four hundred one million, three hundred thirty-four thousand, four hundred two".