4662134400 has 1152 divisors, whose sum is σ = 21022493760. Its totient is φ = 894566400.

The previous prime is 4662134371. The next prime is 4662134401. The reversal of 4662134400 is 44312664.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4662134401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87964774 + ... + 87964826.

Almost surely, 2^4662134400 is an apocalyptic number.

4662134400 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 4662134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511246880).

4662134400 is an abundant number, since it is smaller than the sum of its proper divisors (16360359360).

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

4662134400 is a wasteful number, since it uses less digits than its factorization.

4662134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4662134400 is about 68279.8242528494. The cubic root of 4662134400 is about 1670.5581458731.

The spelling of 4662134400 in words is "four billion, six hundred sixty-two million, one hundred thirty-four thousand, four hundred".