4378282632000 has 1344 divisors, whose sum is σ = 17264493792000. Its totient is φ = 1095258931200.

The previous prime is 4378282631993. The next prime is 4378282632013. The reversal of 4378282632000 is 2362828734.

4378282632000 is a `hidden beast` number, since 4 + 3 + 7 + 8 + 2 + 8 + 2 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4173767476 + ... + 4173768524.

It is an arithmetic number, because the mean of its divisors is an integer number (12845605500).

Almost surely, 2^{4378282632000} is an apocalyptic number.

4378282632000 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 4378282632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632246896000).

4378282632000 is an abundant number, since it is smaller than the sum of its proper divisors (12886211160000).

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

4378282632000 is a wasteful number, since it uses less digits than its factorization.

4378282632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4378282632000 in words is "four trillion, three hundred seventy-eight billion, two hundred eighty-two million, six hundred thirty-two thousand".