4124367360 has 480 divisors, whose sum is σ = 15335768448. Its totient is φ = 1021870080.

The previous prime is 4124367353. The next prime is 4124367367. The reversal of 4124367360 is 637634214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4124367353) and next prime (4124367367).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4124367360² = 34020812240466739200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4124367367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22786470 + ... + 22786650.

Almost surely, 2^4124367360 is an apocalyptic number.

4124367360 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 4124367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667884224).

4124367360 is an abundant number, since it is smaller than the sum of its proper divisors (11211401088).

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

4124367360 is a wasteful number, since it uses less digits than its factorization.

4124367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4124367360 is about 64221.2376087537. The cubic root of 4124367360 is about 1603.6851723407.

The spelling of 4124367360 in words is "four billion, one hundred twenty-four million, three hundred sixty-seven thousand, three hundred sixty".