4378631463360 has 2688 divisors, whose sum is σ = 20398663434240. Its totient is φ = 867428352000.

The previous prime is 4378631463359. The next prime is 4378631463377. The reversal of 4378631463360 is 633641368734.

4378631463360 is a `hidden beast` number, since 43 + 7 + 86 + 3 + 1 + 463 + 3 + 60 = 666.

It is a super-2 number, since 2×4378631463360² (a number of 26 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 = 4378631463297 and 4378631463306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26219349997 + ... + 26219350163.

It is an arithmetic number, because the mean of its divisors is an integer number (7588788480).

Almost surely, 2^{4378631463360} is an apocalyptic number.

4378631463360 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 4378631463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199331717120).

4378631463360 is an abundant number, since it is smaller than the sum of its proper divisors (16020031970880).

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

4378631463360 is a wasteful number, since it uses less digits than its factorization.

4378631463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 4378631463360 in words is "four trillion, three hundred seventy-eight billion, six hundred thirty-one million, four hundred sixty-three thousand, three hundred sixty".