414101242311040 has 64 divisors (see below), whose sum is σ = 990050967774000. Its totient is φ = 165625407084544.

The previous prime is 414101242311023. The next prime is 414101242311121. The reversal of 414101242311040 is 40113242101414.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22440295 + ... + 36493414.

Almost surely, 2^{414101242311040} is an apocalyptic number.

414101242311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414101242311040 is an abundant number, since it is smaller than the sum of its proper divisors (575949725462960).

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

414101242311040 is a wasteful number, since it uses less digits than its factorization.

414101242311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58944707 (or 58944695 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 414101242311040 its reverse (40113242101414), we get a palindrome (454214484412454).

The spelling of 414101242311040 in words is "four hundred fourteen trillion, one hundred one billion, two hundred forty-two million, three hundred eleven thousand, forty".