401424063309360 has 4320 divisors, whose sum is σ = 1859837539921920. Its totient is φ = 77033908224000.

The previous prime is 401424063309307. The next prime is 401424063309371. The reversal of 401424063309360 is 63903360424104.

401424063309360 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 4 + 0 + 633 + 0 + 9 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×401424063309360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 530282778102 + ... + 530282778858.

It is an arithmetic number, because the mean of its divisors is an integer number (430517949056).

Almost surely, 2^{401424063309360} is an apocalyptic number.

401424063309360 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 401424063309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929918769960960).

401424063309360 is an abundant number, since it is smaller than the sum of its proper divisors (1458413476612560).

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

401424063309360 is a wasteful number, since it uses less digits than its factorization.

401424063309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 401424063309360 in words is "four hundred one trillion, four hundred twenty-four billion, sixty-three million, three hundred nine thousand, three hundred sixty".