4258973700072 has 384 divisors, whose sum is σ = 14461521984000. Its totient is φ = 1102477049856.

The previous prime is 4258973700071. The next prime is 4258973700143. The reversal of 4258973700072 is 2700073798524.

4258973700072 is a `hidden beast` number, since 425 + 89 + 7 + 3 + 70 + 0 + 0 + 72 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4258973699991 and 4258973700018.

It is not an unprimeable number, because it can be changed into a prime (4258973700071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76230804 + ... + 76286652.

It is an arithmetic number, because the mean of its divisors is an integer number (37660213500).

Almost surely, 2^{4258973700072} is an apocalyptic number.

4258973700072 is a gapful number since it is divisible by the number (42) 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 4258973700072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230760992000).

4258973700072 is an abundant number, since it is smaller than the sum of its proper divisors (10202548283928).

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

4258973700072 is a wasteful number, since it uses less digits than its factorization.

4258973700072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56097 (or 56090 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 4258973700072 in words is "four trillion, two hundred fifty-eight billion, nine hundred seventy-three million, seven hundred thousand, seventy-two".