414004033141120 has 64 divisors (see below), whose sum is σ = 990096735398400. Its totient is φ = 165539981897728.

The previous prime is 414004033141099. The next prime is 414004033141123. The reversal of 414004033141120 is 21141330400414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×414004033141120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414004033141123) 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, 118652725 + ... + 122092084.

It is an arithmetic number, because the mean of its divisors is an integer number (15470261490600).

Almost surely, 2^{414004033141120} is an apocalyptic number.

414004033141120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414004033141120 is an abundant number, since it is smaller than the sum of its proper divisors (576092702257280).

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

414004033141120 is a wasteful number, since it uses less digits than its factorization.

414004033141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240747515 (or 240747503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 414004033141120 its reverse (21141330400414), we get a palindrome (435145363541534).

The spelling of 414004033141120 in words is "four hundred fourteen trillion, four billion, thirty-three million, one hundred forty-one thousand, one hundred twenty".