401685251650560 has 1056 divisors, whose sum is σ = 1529614892632320. Its totient is φ = 97013425766400.

The previous prime is 401685251650549. The next prime is 401685251650589. The reversal of 401685251650560 is 65056152586104.

401685251650560 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 8 + 5 + 25 + 1 + 6 + 50 + 560 = 666.

It is a super-2 number, since 2×401685251650560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401685251650497 and 401685251650506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47140619100 + ... + 47140627620.

Almost surely, 2^{401685251650560} is an apocalyptic number.

401685251650560 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 401685251650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764807446316160).

401685251650560 is an abundant number, since it is smaller than the sum of its proper divisors (1127929640981760).

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

401685251650560 is a wasteful number, since it uses less digits than its factorization.

401685251650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 401685251650560 in words is "four hundred one trillion, six hundred eighty-five billion, two hundred fifty-one million, six hundred fifty thousand, five hundred sixty".