4169426400 has 540 divisors, whose sum is σ = 15959634768. Its totient is φ = 1058780160.

The previous prime is 4169426377. The next prime is 4169426431. The reversal of 4169426400 is 46249614.

4169426400 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 4 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 89 ways as a sum of consecutive naturals, for example, 88711177 + ... + 88711223.

Almost surely, 2^4169426400 is an apocalyptic number.

4169426400 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 4169426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979817384).

4169426400 is an abundant number, since it is smaller than the sum of its proper divisors (11790208368).

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

4169426400 is a wasteful number, since it uses less digits than its factorization.

4169426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4169426400 is about 64571.0957007855. The cubic root of 4169426400 is about 1609.5041617015.

The spelling of 4169426400 in words is "four billion, one hundred sixty-nine million, four hundred twenty-six thousand, four hundred".