4934066400 has 432 divisors, whose sum is σ = 19117307664. Its totient is φ = 1237524480.

The previous prime is 4934066363. The next prime is 4934066413. The reversal of 4934066400 is 46604394.

4934066400 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 0 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4934066400² = 48690022479217920000, 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, 3304054 + ... + 3305546.

It is an arithmetic number, because the mean of its divisors is an integer number (44253027).

Almost surely, 2^4934066400 is an apocalyptic number.

4934066400 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 4934066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558653832).

4934066400 is an abundant number, since it is smaller than the sum of its proper divisors (14183241264).

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

4934066400 is a wasteful number, since it uses less digits than its factorization.

4934066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4934066400 is about 70242.9099625008. The cubic root of 4934066400 is about 1702.4263392610.

The spelling of 4934066400 in words is "four billion, nine hundred thirty-four million, sixty-six thousand, four hundred".