401430556558080 has 1728 divisors, whose sum is σ = 1701250859911680. Its totient is φ = 89324803620864.

The previous prime is 401430556558067. The next prime is 401430556558099. The reversal of 401430556558080 is 80855655034104.

401430556558080 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 3 + 0 + 5 + 5 + 6 + 558 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×401430556558080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22355092462 + ... + 22355110418.

It is an arithmetic number, because the mean of its divisors is an integer number (984520173560).

Almost surely, 2^{401430556558080} is an apocalyptic number.

401430556558080 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 401430556558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850625429955840).

401430556558080 is an abundant number, since it is smaller than the sum of its proper divisors (1299820303353600).

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

401430556558080 is a wasteful number, since it uses less digits than its factorization.

401430556558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18351 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 401430556558080 in words is "four hundred one trillion, four hundred thirty billion, five hundred fifty-six million, five hundred fifty-eight thousand, eighty".