401068302624 has 288 divisors, whose sum is σ = 1305865701504. Its totient is φ = 115576074240.

The previous prime is 401068302577. The next prime is 401068302629. The reversal of 401068302624 is 426203860104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401068302629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12589564 + ... + 12621380.

It is an arithmetic number, because the mean of its divisors is an integer number (4534255908).

Almost surely, 2^401068302624 is an apocalyptic number.

401068302624 is a gapful number since it is divisible by the number (44) 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 401068302624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652932850752).

401068302624 is an abundant number, since it is smaller than the sum of its proper divisors (904797398880).

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

401068302624 is a wasteful number, since it uses less digits than its factorization.

401068302624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32040 (or 32029 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 401068302624 in words is "four hundred one billion, sixty-eight million, three hundred two thousand, six hundred twenty-four".