401716610064 has 720 divisors, whose sum is σ = 1491167059200. Its totient is φ = 98622627840.

The previous prime is 401716610039. The next prime is 401716610081. The reversal of 401716610064 is 460016617104.

It is a happy number.

It is a super-2 number, since 2×401716610064² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249667692 + ... + 249669300.

It is an arithmetic number, because the mean of its divisors is an integer number (2071065360).

Almost surely, 2^401716610064 is an apocalyptic number.

401716610064 is a gapful number since it is divisible by the number (44) 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 401716610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745583529600).

401716610064 is an abundant number, since it is smaller than the sum of its proper divisors (1089450449136).

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

401716610064 is a wasteful number, since it uses less digits than its factorization.

401716610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 401716610064 in words is "four hundred one billion, seven hundred sixteen million, six hundred ten thousand, sixty-four".