401713536000 has 1408 divisors, whose sum is σ = 1655417088000. Its totient is φ = 84384153600.

The previous prime is 401713535963. The next prime is 401713536001. The reversal of 401713536000 is 635317104.

It is a super-2 number, since 2×401713536000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401713536001) 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 127 ways as a sum of consecutive naturals, for example, 2696063926 + ... + 2696064074.

Almost surely, 2^401713536000 is an apocalyptic number.

401713536000 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 401713536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827708544000).

401713536000 is an abundant number, since it is smaller than the sum of its proper divisors (1253703552000).

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

401713536000 is a wasteful number, since it uses less digits than its factorization.

401713536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 401713536000 in words is "four hundred one billion, seven hundred thirteen million, five hundred thirty-six thousand".