4904428953600 has 3024 divisors, whose sum is σ = 21793456129536. Its totient is φ = 1082916864000.

The previous prime is 4904428953551. The next prime is 4904428953623. The reversal of 4904428953600 is 63598244094.

4904428953600 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 4 + 28 + 9 + 5 + 3 + 600 = 666.

It is a super-3 number, since 3×4904428953600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 158207385585 + ... + 158207385615.

Almost surely, 2^{4904428953600} is an apocalyptic number.

4904428953600 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 4904428953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896728064768).

4904428953600 is an abundant number, since it is smaller than the sum of its proper divisors (16889027175936).

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

4904428953600 is a wasteful number, since it uses less digits than its factorization.

4904428953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4904428953600 in words is "four trillion, nine hundred four billion, four hundred twenty-eight million, nine hundred fifty-three thousand, six hundred".