401848967520 has 3456 divisors, whose sum is σ = 2103691419648. Its totient is φ = 67151462400.

The previous prime is 401848967473. The next prime is 401848967567. The reversal of 401848967520 is 25769848104.

It is a happy number.

401848967520 is a `hidden beast` number, since 4 + 0 + 18 + 48 + 9 + 67 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (401848967473) and next prime (401848967567).

It is a super-2 number, since 2×401848967520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 12962869905 + ... + 12962869935.

It is an arithmetic number, because the mean of its divisors is an integer number (608707008).

Almost surely, 2^401848967520 is an apocalyptic number.

401848967520 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 401848967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051845709824).

401848967520 is an abundant number, since it is smaller than the sum of its proper divisors (1701842452128).

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

401848967520 is a wasteful number, since it uses less digits than its factorization.

401848967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 401848967520 in words is "four hundred one billion, eight hundred forty-eight million, nine hundred sixty-seven thousand, five hundred twenty".