401092987680 has 1440 divisors, whose sum is σ = 1810346630400. Its totient is φ = 81840844800.

The previous prime is 401092987667. The next prime is 401092987681. The reversal of 401092987680 is 86789290104.

401092987680 is a `hidden beast` number, since 401 + 0 + 9 + 2 + 98 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401092987681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 669604021 + ... + 669604619.

It is an arithmetic number, because the mean of its divisors is an integer number (1257185160).

Almost surely, 2^401092987680 is an apocalyptic number.

401092987680 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 401092987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905173315200).

401092987680 is an abundant number, since it is smaller than the sum of its proper divisors (1409253642720).

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

401092987680 is a wasteful number, since it uses less digits than its factorization.

401092987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 401092987680 in words is "four hundred one billion, ninety-two million, nine hundred eighty-seven thousand, six hundred eighty".