4778126467400 has 192 divisors, whose sum is σ = 13053447025920. Its totient is φ = 1603583078400.

The previous prime is 4778126467397. The next prime is 4778126467463. The reversal of 4778126467400 is 47646218774.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260336624 + ... + 260354976.

It is an arithmetic number, because the mean of its divisors is an integer number (67986703260).

Almost surely, 2^{4778126467400} is an apocalyptic number.

4778126467400 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 4778126467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526723512960).

4778126467400 is an abundant number, since it is smaller than the sum of its proper divisors (8275320558520).

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

4778126467400 is a wasteful number, since it uses less digits than its factorization.

4778126467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27496 (or 27487 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 4778126467400 in words is "four trillion, seven hundred seventy-eight billion, one hundred twenty-six million, four hundred sixty-seven thousand, four hundred".