4078782993600 has 1344 divisors, whose sum is σ = 17405143142400. Its totient is φ = 921325363200.

The previous prime is 4078782993589. The next prime is 4078782993653. The reversal of 4078782993600 is 63992878704.

4078782993600 is a `hidden beast` number, since 40 + 78 + 7 + 82 + 99 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×4078782993600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2180000665 + ... + 2180002535.

Almost surely, 2^{4078782993600} is an apocalyptic number.

4078782993600 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 4078782993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702571571200).

4078782993600 is an abundant number, since it is smaller than the sum of its proper divisors (13326360148800).

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

4078782993600 is an equidigital number, since it uses as much as digits as its factorization.

4078782993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4078782993600 in words is "four trillion, seventy-eight billion, seven hundred eighty-two million, nine hundred ninety-three thousand, six hundred".