401487728400 has 540 divisors, whose sum is σ = 1621565064756. Its totient is φ = 91603353600.

The previous prime is 401487728381. The next prime is 401487728407. The reversal of 401487728400 is 4827784104.

It can be written as a sum of positive squares in 6 ways, for example, as 20023382016 + 381464346384 = 141504^2 + 617628^2 .

It is a super-2 number, since 2×401487728400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (401487728407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7378092 + ... + 7432308.

Almost surely, 2^401487728400 is an apocalyptic number.

401487728400 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 401487728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810782532378).

401487728400 is an abundant number, since it is smaller than the sum of its proper divisors (1220077336356).

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

401487728400 is a wasteful number, since it uses less digits than its factorization.

401487728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54280 (or 54255 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 401487728400 in words is "four hundred one billion, four hundred eighty-seven million, seven hundred twenty-eight thousand, four hundred".