401011431320 has 64 divisors (see below), whose sum is σ = 924168960000. Its totient is φ = 156519796608.

The previous prime is 401011431263. The next prime is 401011431383. The reversal of 401011431320 is 23134110104.

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

It is a junction number, because it is equal to n+sod(n) for n = 401011431292 and 401011431301.

It is a congruent number.

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, 1638281 + ... + 1867079.

It is an arithmetic number, because the mean of its divisors is an integer number (14440140000).

Almost surely, 2^401011431320 is an apocalyptic number.

401011431320 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 401011431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462084480000).

401011431320 is an abundant number, since it is smaller than the sum of its proper divisors (523157528680).

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

401011431320 is a wasteful number, since it uses less digits than its factorization.

401011431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229872 (or 229868 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 401011431320 its reverse (23134110104), we get a palindrome (424145541424).

The spelling of 401011431320 in words is "four hundred one billion, eleven million, four hundred thirty-one thousand, three hundred twenty".