401730073680 has 320 divisors, whose sum is σ = 1375691950080. Its totient is φ = 96347750400.

The previous prime is 401730073579. The next prime is 401730073687. The reversal of 401730073680 is 86370037104.

It is a super-2 number, since 2×401730073680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401730073687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 126767136 + ... + 126770304.

It is an arithmetic number, because the mean of its divisors is an integer number (4299037344).

Almost surely, 2^401730073680 is an apocalyptic number.

401730073680 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 401730073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687845975040).

401730073680 is an abundant number, since it is smaller than the sum of its proper divisors (973961876400).

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

401730073680 is a wasteful number, since it uses less digits than its factorization.

401730073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 401730073680 in words is "four hundred one billion, seven hundred thirty million, seventy-three thousand, six hundred eighty".