401428685056 has 81 divisors (see below), whose sum is σ = 932276830989. Its totient is φ = 172010452992.

The previous prime is 401428685039. The next prime is 401428685081. The reversal of 401428685056 is 650586824104.

The square root of 401428685056 is 633584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39968006400 + 361460678656 = 199920^2 + 601216^2 .

It is a super-3 number, since 3×401428685056³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70958580 + ... + 70964236.

Almost surely, 2^401428685056 is an apocalyptic number.

401428685056 is the 633584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401428685056

401428685056 is an abundant number, since it is smaller than the sum of its proper divisors (530848145933).

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

401428685056 is an frugal number, since it uses more digits than its factorization.

401428685056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

Multiplying 401428685056 by its sum of digits (49), we get a square (19670005567744 = 4435088²).

401428685056 divided by its sum of digits (49) gives a square (8192422144 = 90512²).

The spelling of 401428685056 in words is "four hundred one billion, four hundred twenty-eight million, six hundred eighty-five thousand, fifty-six".