4199537472 has 224 divisors, whose sum is σ = 13339267200. Its totient is φ = 1151926272.

The previous prime is 4199537417. The next prime is 4199537513. The reversal of 4199537472 is 2747359914.

It is a happy number.

It is a super-2 number, since 2×4199537472² = 35272229957464301568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803604 + ... + 808812.

It is an arithmetic number, because the mean of its divisors is an integer number (59550300).

Almost surely, 2^4199537472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199537472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669633600).

4199537472 is an abundant number, since it is smaller than the sum of its proper divisors (9139729728).

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

4199537472 is a wasteful number, since it uses less digits than its factorization.

4199537472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5263 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 4199537472 is about 64803.8384048352. The cubic root of 4199537472 is about 1613.3694171896.

The spelling of 4199537472 in words is "four billion, one hundred ninety-nine million, five hundred thirty-seven thousand, four hundred seventy-two".