414545855948640 has 1728 divisors, whose sum is σ = 1677694115208384. Its totient is φ = 95886778171392.

The previous prime is 414545855948639. The next prime is 414545855948689. The reversal of 414545855948640 is 46849558545414.

414545855948640 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 4 + 5 + 8 + 559 + 4 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217381150567 + ... + 217381152473.

It is an arithmetic number, because the mean of its divisors is an integer number (970887798153).

Almost surely, 2^{414545855948640} is an apocalyptic number.

414545855948640 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 414545855948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838847057604192).

414545855948640 is an abundant number, since it is smaller than the sum of its proper divisors (1263148259259744).

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

414545855948640 is a wasteful number, since it uses less digits than its factorization.

414545855948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 2211840000, while the sum is 72.

It can be divided in two parts, 41454585 and 5948640, that added together give a square (47403225 = 6885²).

The spelling of 414545855948640 in words is "four hundred fourteen trillion, five hundred forty-five billion, eight hundred fifty-five million, nine hundred forty-eight thousand, six hundred forty".