401488588800 has 1872 divisors, whose sum is σ = 1703618961408. Its totient is φ = 89535283200.

The previous prime is 401488588789. The next prime is 401488588807. The reversal of 401488588800 is 8885884104.

401488588800 is a `hidden beast` number, since 4 + 0 + 1 + 488 + 5 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×401488588800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401488588807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8542310377 + ... + 8542310423.

It is an arithmetic number, because the mean of its divisors is an integer number (910052864).

Almost surely, 2^401488588800 is an apocalyptic number.

401488588800 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 401488588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851809480704).

401488588800 is an abundant number, since it is smaller than the sum of its proper divisors (1302130372608).

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

401488588800 is a wasteful number, since it uses less digits than its factorization.

401488588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 401488588800 in words is "four hundred one billion, four hundred eighty-eight million, five hundred eighty-eight thousand, eight hundred".