401314820760 has 896 divisors, whose sum is σ = 1607664844800. Its totient is φ = 88213432320.

The previous prime is 401314820743. The next prime is 401314820761. The reversal of 401314820760 is 67028413104.

401314820760 is a `hidden beast` number, since 40 + 131 + 482 + 0 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×401314820760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401314820761) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 661144377 + ... + 661144983.

It is an arithmetic number, because the mean of its divisors is an integer number (1794268800).

Almost surely, 2^401314820760 is an apocalyptic number.

401314820760 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 401314820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803832422400).

401314820760 is an abundant number, since it is smaller than the sum of its proper divisors (1206350024040).

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

401314820760 is a wasteful number, since it uses less digits than its factorization.

401314820760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 401314820760 in words is "four hundred one billion, three hundred fourteen million, eight hundred twenty thousand, seven hundred sixty".