4930204631040 has 1920 divisors, whose sum is σ = 20658355308360. Its totient is φ = 1114342686720.

The previous prime is 4930204631017. The next prime is 4930204631119. The reversal of 4930204631040 is 401364020394.

It is a happy number.

4930204631040 is a `hidden beast` number, since 4 + 93 + 0 + 2 + 0 + 463 + 104 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 402910101504 + 4527294529536 = 634752^2 + 2127744^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 4930204630986 and 4930204631004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120248893420 + ... + 120248893460.

Almost surely, 2^{4930204631040} is an apocalyptic number.

4930204631040 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 4930204631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329177654180).

4930204631040 is an abundant number, since it is smaller than the sum of its proper divisors (15728150677320).

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

4930204631040 is an equidigital number, since it uses as much as digits as its factorization.

4930204631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 81 counting only the distinct ones).

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

The spelling of 4930204631040 in words is "four trillion, nine hundred thirty billion, two hundred four million, six hundred thirty-one thousand, forty".