4212993600 has 168 divisors, whose sum is σ = 15358079520. Its totient is φ = 1123453440.

The previous prime is 4212993539. The next prime is 4212993611. The reversal of 4212993600 is 63992124.

4212993600 is a `hidden beast` number, since 4 + 2 + 1 + 299 + 360 + 0 = 666.

4212993600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4212993600³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5562 + ... + 91961.

It is an arithmetic number, because the mean of its divisors is an integer number (91417140).

Almost surely, 2^4212993600 is an apocalyptic number.

4212993600 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 4212993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679039760).

4212993600 is an abundant number, since it is smaller than the sum of its proper divisors (11145085920).

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

4212993600 is a wasteful number, since it uses less digits than its factorization.

4212993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97554 (or 97533 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4212993600 is about 64907.5773696723. The cubic root of 4212993600 is about 1615.0907622473.

The spelling of 4212993600 in words is "four billion, two hundred twelve million, nine hundred ninety-three thousand, six hundred".