5142610944 has 231 divisors, whose sum is σ = 15601187983. Its totient is φ = 1693550592.

The previous prime is 5142610933. The next prime is 5142610951. The reversal of 5142610944 is 4490162415.

The square root of 5142610944 is 71712.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×5142610944² = 52892894642697142272, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5142610899 and 5142610908.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 61959127 + ... + 61959209.

Almost surely, 2^5142610944 is an apocalyptic number.

5142610944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5142610944 is the 71712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142610944

5142610944 is an abundant number, since it is smaller than the sum of its proper divisors (10458577039).

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

5142610944 is an frugal number, since it uses more digits than its factorization.

5142610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 5142610944 is about 1726.0812034622.

Multiplying 5142610944 by its sum of digits (36), we get a square (185133993984 = 430272²).

5142610944 divided by its sum of digits (36) gives a square (142850304 = 11952²).

The spelling of 5142610944 in words is "five billion, one hundred forty-two million, six hundred ten thousand, nine hundred forty-four".