401214025103440 has 40 divisors (see below), whose sum is σ = 932863069895400. Its totient is φ = 160478648918016.

The previous prime is 401214025103429. The next prime is 401214025103443. The reversal of 401214025103440 is 44301520412104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 97104232805904 + 304109792297536 = 9854148^2 + 17438744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401214025103443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106911465 + ... + 110600584.

It is an arithmetic number, because the mean of its divisors is an integer number (23321576747385).

Almost surely, 2^{401214025103440} is an apocalyptic number.

401214025103440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401214025103440 is an abundant number, since it is smaller than the sum of its proper divisors (531649044791960).

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

401214025103440 is a wasteful number, since it uses less digits than its factorization.

401214025103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217535119 (or 217535113 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 401214025103440 its reverse (44301520412104), we get a palindrome (445515545515544).

The spelling of 401214025103440 in words is "four hundred one trillion, two hundred fourteen billion, twenty-five million, one hundred three thousand, four hundred forty".