4054991155200 has 936 divisors, whose sum is σ = 15212784944448. Its totient is φ = 1070521712640.

The previous prime is 4054991155183. The next prime is 4054991155217. The reversal of 4054991155200 is 25511994504.

4054991155200 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 9 + 9 + 115 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4054991155183) and next prime (4054991155217).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2662501639 + ... + 2662503161.

It is an arithmetic number, because the mean of its divisors is an integer number (16252975368).

Almost surely, 2^{4054991155200} is an apocalyptic number.

4054991155200 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 4054991155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606392472224).

4054991155200 is an abundant number, since it is smaller than the sum of its proper divisors (11157793789248).

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

4054991155200 is a wasteful number, since it uses less digits than its factorization.

4054991155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 4054991155200 in words is "four trillion, fifty-four billion, nine hundred ninety-one million, one hundred fifty-five thousand, two hundred".