416134640000 has 80 divisors (see below), whose sum is σ = 1035941377020. Its totient is φ = 166453824000.

The previous prime is 416134639997. The next prime is 416134640003. The reversal of 416134640000 is 46431614.

It is an interprime number because it is at equal distance from previous prime (416134639997) and next prime (416134640003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416134640003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2520842 + ... + 2680841.

Almost surely, 2^416134640000 is an apocalyptic number.

416134640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416134640000 is an abundant number, since it is smaller than the sum of its proper divisors (619806737020).

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

416134640000 is an frugal number, since it uses more digits than its factorization.

416134640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201717 (or 5201690 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 416134640000 in words is "four hundred sixteen billion, one hundred thirty-four million, six hundred forty thousand".