401541550400 has 84 divisors (see below), whose sum is σ = 1046163435228. Its totient is φ = 151168573440.

The previous prime is 401541550393. The next prime is 401541550477. The reversal of 401541550400 is 4055145104.

It can be written as a sum of positive squares in 6 ways, for example, as 42941786176 + 358599764224 = 207224^2 + 598832^2 .

It is a super-2 number, since 2×401541550400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7354079 + ... + 7408478.

Almost surely, 2^401541550400 is an apocalyptic number.

401541550400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401541550400 is an abundant number, since it is smaller than the sum of its proper divisors (644621884828).

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

401541550400 is a wasteful number, since it uses less digits than its factorization.

401541550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762596 (or 14762581 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 401541550400 its reverse (4055145104), we get a palindrome (405596695504).

The spelling of 401541550400 in words is "four hundred one billion, five hundred forty-one million, five hundred fifty thousand, four hundred".