4342149504 has 768 divisors, whose sum is σ = 16930368000. Its totient is φ = 1097349120.

The previous prime is 4342149499. The next prime is 4342149517. The reversal of 4342149504 is 4059412434.

4342149504 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 149 + 504 = 666.

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 95 ways as a sum of consecutive naturals, for example, 117355374 + ... + 117355410.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 2^4342149504 is an apocalyptic number.

4342149504 is a gapful number since it is divisible by the number (44) 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 4342149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465184000).

4342149504 is an abundant number, since it is smaller than the sum of its proper divisors (12588218496).

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

4342149504 is an equidigital number, since it uses as much as digits as its factorization.

4342149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4342149504 is about 65894.9884589109. The cubic root of 4342149504 is about 1631.4292987221.

The spelling of 4342149504 in words is "four billion, three hundred forty-two million, one hundred forty-nine thousand, five hundred four".