61224253440 has 576 divisors, whose sum is σ = 230912791200. Its totient is φ = 13806600192.

The previous prime is 61224253417. The next prime is 61224253463. The reversal of 61224253440 is 4435242216.

It is an interprime number because it is at equal distance from previous prime (61224253417) and next prime (61224253463).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133969692 + ... + 133970148.

Almost surely, 2^61224253440 is an apocalyptic number.

61224253440 is a gapful number since it is divisible by the number (60) 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 61224253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115456395600).

61224253440 is an abundant number, since it is smaller than the sum of its proper divisors (169688537760).

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

61224253440 is a wasteful number, since it uses less digits than its factorization.

61224253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 61224253440 its reverse (4435242216), we get a palindrome (65659495656).

The spelling of 61224253440 in words is "sixty-one billion, two hundred twenty-four million, two hundred fifty-three thousand, four hundred forty".