4077555672000 has 448 divisors, whose sum is σ = 14747726298240. Its totient is φ = 988094464000.

The previous prime is 4077555671951. The next prime is 4077555672041. The reversal of 4077555672000 is 2765557704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11659690 + ... + 12004310.

Almost surely, 2^{4077555672000} is an apocalyptic number.

4077555672000 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 4077555672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373863149120).

4077555672000 is an abundant number, since it is smaller than the sum of its proper divisors (10670170626240).

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

4077555672000 is a wasteful number, since it uses less digits than its factorization.

4077555672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344697 (or 344677 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 4077555672000 in words is "four trillion, seventy-seven billion, five hundred fifty-five million, six hundred seventy-two thousand".