414260638848 has 384 divisors, whose sum is σ = 1428499800000. Its totient is φ = 117840973824.

The previous prime is 414260638817. The next prime is 414260638849. The reversal of 414260638848 is 848836062414.

It is a happy number.

414260638848 is a `hidden beast` number, since 41 + 426 + 0 + 63 + 88 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×414260638848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 414260638794 and 414260638803.

It is not an unprimeable number, because it can be changed into a prime (414260638849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39451903 + ... + 39462401.

Almost surely, 2^414260638848 is an apocalyptic number.

414260638848 is a gapful number since it is divisible by the number (48) 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 414260638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714249900000).

414260638848 is an abundant number, since it is smaller than the sum of its proper divisors (1014239161152).

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

414260638848 is a wasteful number, since it uses less digits than its factorization.

414260638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 414260638848 in words is "four hundred fourteen billion, two hundred sixty million, six hundred thirty-eight thousand, eight hundred forty-eight".