401416461803520 has 672 divisors, whose sum is σ = 1405715377397760. Its totient is φ = 105954178498560.

The previous prime is 401416461803479. The next prime is 401416461803521. The reversal of 401416461803520 is 25308164614104.

401416461803520 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 1 + 6 + 4 + 618 + 0 + 3 + 5 + 20 = 666.

It is a super-2 number, since 2×401416461803520² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401416461803521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20552776155 + ... + 20552795685.

Almost surely, 2^{401416461803520} is an apocalyptic number.

401416461803520 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 401416461803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702857688698880).

401416461803520 is an abundant number, since it is smaller than the sum of its proper divisors (1004298915594240).

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

401416461803520 is a wasteful number, since it uses less digits than its factorization.

401416461803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134 (or 20107 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 401416461803520 in words is "four hundred one trillion, four hundred sixteen billion, four hundred sixty-one million, eight hundred three thousand, five hundred twenty".