401330988400 has 960 divisors, whose sum is σ = 1183681382400. Its totient is φ = 129622671360.

The previous prime is 401330988397. The next prime is 401330988403. The reversal of 401330988400 is 4889033104.

It is an interprime number because it is at equal distance from previous prime (401330988397) and next prime (401330988403).

It is a super-2 number, since 2×401330988400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401330988403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7572282774 + ... + 7572282826.

It is an arithmetic number, because the mean of its divisors is an integer number (1233001440).

Almost surely, 2^401330988400 is an apocalyptic number.

401330988400 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 401330988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591840691200).

401330988400 is an abundant number, since it is smaller than the sum of its proper divisors (782350394000).

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

401330988400 is a wasteful number, since it uses less digits than its factorization.

401330988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 401330988400 in words is "four hundred one billion, three hundred thirty million, nine hundred eighty-eight thousand, four hundred".