4662042400 has 72 divisors (see below), whose sum is σ = 11391770880. Its totient is φ = 1863087360.

The previous prime is 4662042389. The next prime is 4662042419. The reversal of 4662042400 is 42402664.

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, 1187641 + ... + 1191559.

It is an arithmetic number, because the mean of its divisors is an integer number (158219040).

Almost surely, 2^4662042400 is an apocalyptic number.

4662042400 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 4662042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695885440).

4662042400 is an abundant number, since it is smaller than the sum of its proper divisors (6729728480).

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

4662042400 is a wasteful number, since it uses less digits than its factorization.

4662042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4662042400 is about 68279.1505512481. The cubic root of 4662042400 is about 1670.5471571752.

The spelling of 4662042400 in words is "four billion, six hundred sixty-two million, forty-two thousand, four hundred".