414142004500 has 192 divisors, whose sum is σ = 1093080748032. Its totient is φ = 134058240000.

The previous prime is 414142004491. The next prime is 414142004527. The reversal of 414142004500 is 5400241414.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4401952 + ... + 4495048.

It is an arithmetic number, because the mean of its divisors is an integer number (5693128896).

Almost surely, 2^414142004500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414142004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546540374016).

414142004500 is an abundant number, since it is smaller than the sum of its proper divisors (678938743532).

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

414142004500 is a wasteful number, since it uses less digits than its factorization.

414142004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93195 (or 93183 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 414142004500 its reverse (5400241414), we get a palindrome (419542245914).

The spelling of 414142004500 in words is "four hundred fourteen billion, one hundred forty-two million, four thousand, five hundred".