401358993841 has 9 divisors (see below), whose sum is σ = 434616586209. Its totient is φ = 370477622736.

The previous prime is 401358993823. The next prime is 401358993869. The reversal of 401358993841 is 148399853104.

It is a happy number.

The square root of 401358993841 is 633529.

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 7477233841 + 393881760000 = 86471^2 + 627600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-401358993841 is a prime.

It is a super-2 number, since 2×401358993841² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401358993821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8211511 + ... + 8260243.

It is an arithmetic number, because the mean of its divisors is an integer number (48290731801).

Almost surely, 2^401358993841 is an apocalyptic number.

401358993841 is the 633529-th square number.

401358993841 is the 316765-th centered octagonal number.

It is an amenable number.

401358993841 is a deficient number, since it is larger than the sum of its proper divisors (33257592368).

401358993841 is an frugal number, since it uses more digits than its factorization.

401358993841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97492 (or 48746 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 401358993841 in words is "four hundred one billion, three hundred fifty-eight million, nine hundred ninety-three thousand, eight hundred forty-one".