4378778222400 has 840 divisors, whose sum is σ = 16736152984320. Its totient is φ = 1121734656000.

The previous prime is 4378778222381. The next prime is 4378778222407. The reversal of 4378778222400 is 42228778734.

4378778222400 is a `hidden beast` number, since 4 + 3 + 7 + 8 + 7 + 7 + 8 + 222 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4378778222407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 558442480 + ... + 558450320.

It is an arithmetic number, because the mean of its divisors is an integer number (19923991648).

Almost surely, 2^{4378778222400} is an apocalyptic number.

4378778222400 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 4378778222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368076492160).

4378778222400 is an abundant number, since it is smaller than the sum of its proper divisors (12357374761920).

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

4378778222400 is a wasteful number, since it uses less digits than its factorization.

4378778222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8045 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 4378778222400 in words is "four trillion, three hundred seventy-eight billion, seven hundred seventy-eight million, two hundred twenty-two thousand, four hundred".