401177854728 has 256 divisors, whose sum is σ = 1281254400000. Its totient is φ = 113933952000.

The previous prime is 401177854709. The next prime is 401177854783. The reversal of 401177854728 is 827458771104.

It is a happy number.

401177854728 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 7 + 78 + 547 + 28 = 666.

It is a super-2 number, since 2×401177854728² (a number of 24 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200688273 + ... + 200690271.

It is an arithmetic number, because the mean of its divisors is an integer number (5004900000).

Almost surely, 2^401177854728 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 401177854728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640627200000).

401177854728 is an abundant number, since it is smaller than the sum of its proper divisors (880076545272).

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

401177854728 is a wasteful number, since it uses less digits than its factorization.

401177854728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 401177854728 in words is "four hundred one billion, one hundred seventy-seven million, eight hundred fifty-four thousand, seven hundred twenty-eight".