4929508412928 has 640 divisors, whose sum is σ = 16758637378560. Its totient is φ = 1416084848640.

The previous prime is 4929508412893. The next prime is 4929508412963. The reversal of 4929508412928 is 8292148059294.

4929508412928 is a `hidden beast` number, since 4 + 9 + 29 + 508 + 4 + 12 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4929508412893) and next prime (4929508412963).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395208100 + ... + 395220572.

It is an arithmetic number, because the mean of its divisors is an integer number (26185370904).

Almost surely, 2^{4929508412928} is an apocalyptic number.

4929508412928 is a gapful number since it is divisible by the number (48) 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 4929508412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379318689280).

4929508412928 is an abundant number, since it is smaller than the sum of its proper divisors (11829128965632).

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

4929508412928 is a wasteful number, since it uses less digits than its factorization.

4929508412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647 (or 12625 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 4929508412928 in words is "four trillion, nine hundred twenty-nine billion, five hundred eight million, four hundred twelve thousand, nine hundred twenty-eight".