401891738976000 has 6912 divisors, whose sum is σ = 1974291096960000. Its totient is φ = 77686898688000.

The previous prime is 401891738975941. The next prime is 401891738976023. The reversal of 401891738976000 is 679837198104.

401891738976000 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 9 + 17 + 3 + 8 + 9 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 895081823776 + ... + 895081824224.

It is an arithmetic number, because the mean of its divisors is an integer number (285632392500).

Almost surely, 2^{401891738976000} is an apocalyptic number.

401891738976000 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 401891738976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987145548480000).

401891738976000 is an abundant number, since it is smaller than the sum of its proper divisors (1572399357984000).

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

401891738976000 is a wasteful number, since it uses less digits than its factorization.

401891738976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 401891738976000 in words is "four hundred one trillion, eight hundred ninety-one billion, seven hundred thirty-eight million, nine hundred seventy-six thousand".