401585295648 has 192 divisors, whose sum is σ = 1131641280000. Its totient is φ = 124325959680.

The previous prime is 401585295647. The next prime is 401585295649. The reversal of 401585295648 is 846592585104.

It is an interprime number because it is at equal distance from previous prime (401585295647) and next prime (401585295649).

It is a super-2 number, since 2×401585295648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (401585295641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19822228 + ... + 19842476.

It is an arithmetic number, because the mean of its divisors is an integer number (5893965000).

Almost surely, 2^401585295648 is an apocalyptic number.

401585295648 is a gapful number since it is divisible by the number (48) 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 401585295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565820640000).

401585295648 is an abundant number, since it is smaller than the sum of its proper divisors (730055984352).

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

401585295648 is a wasteful number, since it uses less digits than its factorization.

401585295648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20495 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 401585295648 in words is "four hundred one billion, five hundred eighty-five million, two hundred ninety-five thousand, six hundred forty-eight".