414874003680 has 720 divisors, whose sum is σ = 1555600606560. Its totient is φ = 103924187136.

The previous prime is 414874003679. The next prime is 414874003681. The reversal of 414874003680 is 86300478414.

It is an interprime number because it is at equal distance from previous prime (414874003679) and next prime (414874003681).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414874003681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3671451304 + ... + 3671451416.

It is an arithmetic number, because the mean of its divisors is an integer number (2160556398).

Almost surely, 2^414874003680 is an apocalyptic number.

414874003680 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 414874003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777800303280).

414874003680 is an abundant number, since it is smaller than the sum of its proper divisors (1140726602880).

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

414874003680 is a wasteful number, since it uses less digits than its factorization.

414874003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 414874003680 in words is "four hundred fourteen billion, eight hundred seventy-four million, three thousand, six hundred eighty".