414117742080 has 320 divisors, whose sum is σ = 1519334327808. Its totient is φ = 94259773440.

The previous prime is 414117742069. The next prime is 414117742091. The reversal of 414117742080 is 80247711414.

It is an interprime number because it is at equal distance from previous prime (414117742069) and next prime (414117742091).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 12940179 + ... + 12972141.

Almost surely, 2^414117742080 is an apocalyptic number.

414117742080 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 414117742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759667163904).

414117742080 is an abundant number, since it is smaller than the sum of its proper divisors (1105216585728).

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

414117742080 is a wasteful number, since it uses less digits than its factorization.

414117742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32237 (or 32221 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 414117742080 in words is "four hundred fourteen billion, one hundred seventeen million, seven hundred forty-two thousand, eighty".