414144040204000 has 96 divisors (see below), whose sum is σ = 1017558338745312. Its totient is φ = 165656568960000.

The previous prime is 414144040203961. The next prime is 414144040204009. The reversal of 414144040204000 is 402040441414.

It is a self number, because there is not a number n which added to its sum of digits gives 414144040204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144040204009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070690635 + ... + 1071077365.

It is an arithmetic number, because the mean of its divisors is an integer number (10599566028597).

Almost surely, 2^{414144040204000} is an apocalyptic number.

414144040204000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414144040204000 is an abundant number, since it is smaller than the sum of its proper divisors (603414298541312).

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

414144040204000 is a wasteful number, since it uses less digits than its factorization.

414144040204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654477 (or 654459 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 414144040204000 its reverse (402040441414), we get a palindrome (414546080645414).

The spelling of 414144040204000 in words is "four hundred fourteen trillion, one hundred forty-four billion, forty million, two hundred four thousand".