4025620800000 has 360 divisors, whose sum is σ = 14521890234852. Its totient is φ = 1073495040000.

The previous prime is 4025620799971. The next prime is 4025620800007. The reversal of 4025620800000 is 80265204.

4025620800000 is a `hidden beast` number, since 402 + 56 + 208 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 925936609536 + 3099684190464 = 962256^2 + 1760592^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4025620800007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14260222 + ... + 14539778.

Almost surely, 2^{4025620800000} is an apocalyptic number.

4025620800000 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 4025620800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260945117426).

4025620800000 is an abundant number, since it is smaller than the sum of its proper divisors (10496269434852).

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

4025620800000 is an frugal number, since it uses more digits than its factorization.

4025620800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279606 (or 279567 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 4025620800000 in words is "four trillion, twenty-five billion, six hundred twenty million, eight hundred thousand".