401218046687016 has 384 divisors, whose sum is σ = 1199253149552640. Its totient is φ = 120423092428800.

The previous prime is 401218046686997. The next prime is 401218046687033. The reversal of 401218046687016 is 610786640812104.

401218046687016 is a `hidden beast` number, since 4 + 0 + 1 + 21 + 80 + 466 + 8 + 70 + 16 = 666.

It is a super-3 number, since 3×401218046687016³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20542617171 + ... + 20542636701.

It is an arithmetic number, because the mean of its divisors is an integer number (3123055076960).

Almost surely, 2^{401218046687016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401218046687016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599626574776320).

401218046687016 is an abundant number, since it is smaller than the sum of its proper divisors (798035102865624).

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

401218046687016 is a wasteful number, since it uses less digits than its factorization.

401218046687016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22577 (or 22570 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 401218046687016 in words is "four hundred one trillion, two hundred eighteen billion, forty-six million, six hundred eighty-seven thousand, sixteen".