4904142336 has 240 divisors, whose sum is σ = 14643794880. Its totient is φ = 1579253760.

The previous prime is 4904142323. The next prime is 4904142349. The reversal of 4904142336 is 6332414094.

It is a happy number.

4904142336 is a `hidden beast` number, since 4 + 9 + 0 + 414 + 233 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4904142323) and next prime (4904142349).

It is a super-2 number, since 2×4904142336² = 48101224103495073792, which contains 22 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 a self number, because there is not a number n which added to its sum of digits gives 4904142336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20519305 + ... + 20519543.

It is an arithmetic number, because the mean of its divisors is an integer number (61015812).

Almost surely, 2^4904142336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4904142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321897440).

4904142336 is an abundant number, since it is smaller than the sum of its proper divisors (9739652544).

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

4904142336 is a wasteful number, since it uses less digits than its factorization.

4904142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4904142336 is about 70029.5818636667. The cubic root of 4904142336 is about 1698.9777401951.

The spelling of 4904142336 in words is "four billion, nine hundred four million, one hundred forty-two thousand, three hundred thirty-six".