4155782400 has 648 divisors, whose sum is σ = 18543854784. Its totient is φ = 862617600.

The previous prime is 4155782387. The next prime is 4155782419. The reversal of 4155782400 is 42875514.

4155782400 is a `hidden beast` number, since 41 + 5 + 578 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×4155782400² = 34541054712299520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4434732 + ... + 4435668.

Almost surely, 2^4155782400 is an apocalyptic number.

4155782400 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 4155782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271927392).

4155782400 is an abundant number, since it is smaller than the sum of its proper divisors (14388072384).

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

4155782400 is a wasteful number, since it uses less digits than its factorization.

4155782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4155782400 is about 64465.3581390812. The cubic root of 4155782400 is about 1607.7466000042.

The spelling of 4155782400 in words is "four billion, one hundred fifty-five million, seven hundred eighty-two thousand, four hundred".