4198757472 has 360 divisors, whose sum is σ = 15475543776. Its totient is φ = 1106929152.

The previous prime is 4198757471. The next prime is 4198757473. The reversal of 4198757472 is 2747578914.

4198757472 is a `hidden beast` number, since 41 + 9 + 87 + 57 + 472 = 666.

4198757472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4198757471) and next prime (4198757473).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198757471) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1649833 + ... + 1652375.

It is a vampire number, since it can be written as 45774 ⋅ 91728 (with its own digits).

Almost surely, 2^4198757472 is an apocalyptic number.

4198757472 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 4198757472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737771888).

4198757472 is an abundant number, since it is smaller than the sum of its proper divisors (11276786304).

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

4198757472 is a wasteful number, since it uses less digits than its factorization.

4198757472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2568 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 4198757472 is about 64797.8199633290. The cubic root of 4198757472 is about 1613.2695247552.

The spelling of 4198757472 in words is "four billion, one hundred ninety-eight million, seven hundred fifty-seven thousand, four hundred seventy-two".