4156678400 has 432 divisors, whose sum is σ = 12603859968. Its totient is φ = 1327104000.

The previous prime is 4156678397. The next prime is 4156678423. The reversal of 4156678400 is 48766514.

It is a super-3 number, since 3×4156678400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56940764 + ... + 56940836.

Almost surely, 2^4156678400 is an apocalyptic number.

4156678400 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 4156678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301929984).

4156678400 is an abundant number, since it is smaller than the sum of its proper divisors (8447181568).

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

4156678400 is a wasteful number, since it uses less digits than its factorization.

4156678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 4156678400 is about 64472.3072334161. The cubic root of 4156678400 is about 1607.8621368072.

The spelling of 4156678400 in words is "four billion, one hundred fifty-six million, six hundred seventy-eight thousand, four hundred".