4054900778208 has 576 divisors, whose sum is σ = 14446349568000. Its totient is φ = 1083627777024.

The previous prime is 4054900778207. The next prime is 4054900778231. The reversal of 4054900778208 is 8028770094504.

It is a happy number.

4054900778208 is a `hidden beast` number, since 4 + 0 + 5 + 490 + 0 + 77 + 82 + 0 + 8 = 666.

It is a super-2 number, since 2×4054900778208² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054900778207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172471158 + ... + 172494666.

It is an arithmetic number, because the mean of its divisors is an integer number (25080468000).

Almost surely, 2^{4054900778208} is an apocalyptic number.

4054900778208 is a gapful number since it is divisible by the number (48) 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 4054900778208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223174784000).

4054900778208 is an abundant number, since it is smaller than the sum of its proper divisors (10391448789792).

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

4054900778208 is a wasteful number, since it uses less digits than its factorization.

4054900778208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23652 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 4054900778208 in words is "four trillion, fifty-four billion, nine hundred million, seven hundred seventy-eight thousand, two hundred eight".