401647276800 has 1944 divisors, whose sum is σ = 1932010687152. Its totient is φ = 78446592000.

The previous prime is 401647276759. The next prime is 401647276801. The reversal of 401647276800 is 8672746104.

It is a super-2 number, since 2×401647276800² (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 not an unprimeable number, because it can be changed into a prime (401647276801) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 527788420 + ... + 527789180.

It is an arithmetic number, because the mean of its divisors is an integer number (993832658).

Almost surely, 2^401647276800 is an apocalyptic number.

401647276800 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 401647276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966005343576).

401647276800 is an abundant number, since it is smaller than the sum of its proper divisors (1530363410352).

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

401647276800 is a wasteful number, since it uses less digits than its factorization.

401647276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 401647276800 in words is "four hundred one billion, six hundred forty-seven million, two hundred seventy-six thousand, eight hundred".