61210813440 has 704 divisors, whose sum is σ = 239021475840. Its totient is φ = 13094977536.

The previous prime is 61210813397. The next prime is 61210813453. The reversal of 61210813440 is 4431801216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61210813398 and 61210813407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737479639 + ... + 737479721.

Almost surely, 2^61210813440 is an apocalyptic number.

61210813440 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 61210813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119510737920).

61210813440 is an abundant number, since it is smaller than the sum of its proper divisors (177810662400).

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

61210813440 is an equidigital number, since it uses as much as digits as its factorization.

61210813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 61210813440 in words is "sixty-one billion, two hundred ten million, eight hundred thirteen thousand, four hundred forty".