414205055040 has 224 divisors, whose sum is σ = 1504945854720. Its totient is φ = 94551146496.

The previous prime is 414205055027. The next prime is 414205055053. The reversal of 414205055040 is 40550502414.

It is an interprime number because it is at equal distance from previous prime (414205055027) and next prime (414205055053).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 414205054989 and 414205055007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5127604 + ... + 5207756.

It is an arithmetic number, because the mean of its divisors is an integer number (6718508280).

Almost surely, 2^414205055040 is an apocalyptic number.

414205055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414205055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752472927360).

414205055040 is an abundant number, since it is smaller than the sum of its proper divisors (1090740799680).

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

414205055040 is a wasteful number, since it uses less digits than its factorization.

414205055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80949 (or 80939 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 414205055040 its reverse (40550502414), we get a palindrome (454755557454).

The spelling of 414205055040 in words is "four hundred fourteen billion, two hundred five million, fifty-five thousand, forty".