401365992720 has 960 divisors, whose sum is σ = 1601654487552. Its totient is φ = 81371136000.

The previous prime is 401365992701. The next prime is 401365992739. The reversal of 401365992720 is 27299563104.

It is an interprime number because it is at equal distance from previous prime (401365992701) and next prime (401365992739).

It is a super-3 number, since 3×401365992720³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 401365992720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2320034554 + ... + 2320034726.

Almost surely, 2^401365992720 is an apocalyptic number.

401365992720 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 401365992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800827243776).

401365992720 is an abundant number, since it is smaller than the sum of its proper divisors (1200288494832).

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

401365992720 is a wasteful number, since it uses less digits than its factorization.

401365992720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 401365992720 in words is "four hundred one billion, three hundred sixty-five million, nine hundred ninety-two thousand, seven hundred twenty".