401328576000 has 960 divisors, whose sum is σ = 1595616998976. Its totient is φ = 96141312000.

The previous prime is 401328575993. The next prime is 401328576001. The reversal of 401328576000 is 675823104.

401328576000 is a `hidden beast` number, since 40 + 1 + 3 + 2 + 8 + 5 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×401328576000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401328576001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614591674 + ... + 614592326.

Almost surely, 2^401328576000 is an apocalyptic number.

401328576000 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 401328576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797808499488).

401328576000 is an abundant number, since it is smaller than the sum of its proper divisors (1194288422976).

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

401328576000 is a wasteful number, since it uses less digits than its factorization.

401328576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 401328576000 in words is "four hundred one billion, three hundred twenty-eight million, five hundred seventy-six thousand".