4691416400 has 60 divisors (see below), whose sum is σ = 12295787424. Its totient is φ = 1705968000.

The previous prime is 4691416399. The next prime is 4691416453. The reversal of 4691416400 is 46141964.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528716 + ... + 537515.

Almost surely, 2^4691416400 is an apocalyptic number.

4691416400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4691416400 is an abundant number, since it is smaller than the sum of its proper divisors (7604371024).

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

4691416400 is a wasteful number, since it uses less digits than its factorization.

4691416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066260 (or 1066249 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4691416400 is about 68493.9150582006. The cubic root of 4691416400 is about 1674.0483374069.

The spelling of 4691416400 in words is "four billion, six hundred ninety-one million, four hundred sixteen thousand, four hundred".