4920435072000 has 2112 divisors, whose sum is σ = 21722342154240. Its totient is φ = 1088391168000.

The previous prime is 4920435071977. The next prime is 4920435072001. The reversal of 4920435072000 is 2705340294.

4920435072000 is a `hidden beast` number, since 4 + 92 + 0 + 43 + 507 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920435072001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158723711985 + ... + 158723712015.

Almost surely, 2^{4920435072000} is an apocalyptic number.

4920435072000 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 4920435072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10861171077120).

4920435072000 is an abundant number, since it is smaller than the sum of its proper divisors (16801907082240).

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

4920435072000 is an frugal number, since it uses more digits than its factorization.

4920435072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 4920435072000 in words is "four trillion, nine hundred twenty billion, four hundred thirty-five million, seventy-two thousand".