401801748480 has 448 divisors, whose sum is σ = 1558455811200. Its totient is φ = 97403535360.

The previous prime is 401801748427. The next prime is 401801748581. The reversal of 401801748480 is 84847108104.

It is a happy number.

401801748480 is a `hidden beast` number, since 4 + 0 + 1 + 80 + 17 + 484 + 80 = 666.

It is a super-2 number, since 2×401801748480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12148606 + ... + 12181634.

Almost surely, 2^401801748480 is an apocalyptic number.

401801748480 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 401801748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779227905600).

401801748480 is an abundant number, since it is smaller than the sum of its proper divisors (1156654062720).

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

401801748480 is a wasteful number, since it uses less digits than its factorization.

401801748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33080 (or 33050 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 401801748480 in words is "four hundred one billion, eight hundred one million, seven hundred forty-eight thousand, four hundred eighty".