401657012680 has 192 divisors, whose sum is σ = 1153554825600. Its totient is φ = 122278625280.

The previous prime is 401657012663. The next prime is 401657012719. The reversal of 401657012680 is 86210756104.

It is a super-2 number, since 2×401657012680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659656 + ... + 5730184.

It is an arithmetic number, because the mean of its divisors is an integer number (6008098050).

Almost surely, 2^401657012680 is an apocalyptic number.

401657012680 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 401657012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576777412800).

401657012680 is an abundant number, since it is smaller than the sum of its proper divisors (751897812920).

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

401657012680 is a wasteful number, since it uses less digits than its factorization.

401657012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70644 (or 70597 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

Adding to 401657012680 its reverse (86210756104), we get a palindrome (487867768784).

The spelling of 401657012680 in words is "four hundred one billion, six hundred fifty-seven million, twelve thousand, six hundred eighty".