401004112213320 has 512 divisors, whose sum is σ = 1517420519239680. Its totient is φ = 82354099322880.

The previous prime is 401004112213303. The next prime is 401004112213321. The reversal of 401004112213320 is 23312211400104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (401004112213321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368030367 + ... + 369118353.

It is an arithmetic number, because the mean of its divisors is an integer number (2963711951640).

Almost surely, 2^{401004112213320} is an apocalyptic number.

401004112213320 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 401004112213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758710259619840).

401004112213320 is an abundant number, since it is smaller than the sum of its proper divisors (1116416407026360).

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

401004112213320 is a wasteful number, since it uses less digits than its factorization.

401004112213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088485 (or 1088481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 401004112213320 its reverse (23312211400104), we get a palindrome (424316323613424).

The spelling of 401004112213320 in words is "four hundred one trillion, four billion, one hundred twelve million, two hundred thirteen thousand, three hundred twenty".