401177787450 has 192 divisors, whose sum is σ = 1121533931520. Its totient is φ = 94021056000.

The previous prime is 401177787449. The next prime is 401177787469. The reversal of 401177787450 is 54787771104.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401177787393 and 401177787402.

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, 57744877 + ... + 57751823.

It is an arithmetic number, because the mean of its divisors is an integer number (5841322560).

Almost surely, 2^401177787450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401177787450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560766965760).

401177787450 is an abundant number, since it is smaller than the sum of its proper divisors (720356144070).

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

401177787450 is a wasteful number, since it uses less digits than its factorization.

401177787450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 51.

The spelling of 401177787450 in words is "four hundred one billion, one hundred seventy-seven million, seven hundred eighty-seven thousand, four hundred fifty".