401940784144 has 45 divisors (see below), whose sum is σ = 782715872503. Its totient is φ = 199954743296.

The previous prime is 401940784123. The next prime is 401940784151. The reversal of 401940784144 is 441487049104.

The square root of 401940784144 is 633988.

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

It can be written as a sum of positive squares in 4 ways, for example, as 126787600 + 401813996544 = 11260^2 + 633888^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401940784094 and 401940784103.

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, 895190832 + ... + 895191280.

Almost surely, 2^401940784144 is an apocalyptic number.

401940784144 is the 633988-th square number.

It is an amenable number.

401940784144 is a deficient number, since it is larger than the sum of its proper divisors (380775088359).

401940784144 is an frugal number, since it uses more digits than its factorization.

401940784144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 401940784144 in words is "four hundred one billion, nine hundred forty million, seven hundred eighty-four thousand, one hundred forty-four".