414170173872 has 540 divisors, whose sum is σ = 1523620120464. Its totient is φ = 104475571200.

The previous prime is 414170173789. The next prime is 414170173877. The reversal of 414170173872 is 278371071414.

It is a super-2 number, since 2×414170173872² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414170173877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27419122 + ... + 27434222.

Almost surely, 2^414170173872 is an apocalyptic number.

414170173872 is a gapful number since it is divisible by the number (42) 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 414170173872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761810060232).

414170173872 is an abundant number, since it is smaller than the sum of its proper divisors (1109449946592).

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

414170173872 is a wasteful number, since it uses less digits than its factorization.

414170173872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 414170173872 in words is "four hundred fourteen billion, one hundred seventy million, one hundred seventy-three thousand, eight hundred seventy-two".