401442226560 has 384 divisors, whose sum is σ = 1462312800000. Its totient is φ = 101199974400.

The previous prime is 401442226553. The next prime is 401442226561. The reversal of 401442226560 is 65622244104.

401442226560 is a `hidden beast` number, since 40 + 14 + 4 + 22 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×401442226560² (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 (401442226561) 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, 54606885 + ... + 54614235.

It is an arithmetic number, because the mean of its divisors is an integer number (3808106250).

Almost surely, 2^401442226560 is an apocalyptic number.

401442226560 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 401442226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731156400000).

401442226560 is an abundant number, since it is smaller than the sum of its proper divisors (1060870573440).

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

401442226560 is a wasteful number, since it uses less digits than its factorization.

401442226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 401442226560 in words is "four hundred one billion, four hundred forty-two million, two hundred twenty-six thousand, five hundred sixty".