61220436426240 has 5760 divisors, whose sum is σ = 285827870845440. Its totient is φ = 11037088677888.

The previous prime is 61220436426217. The next prime is 61220436426251. The reversal of 61220436426240 is 4262463402216.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 61220436426192 and 61220436426201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1155102574054 + ... + 1155102574106.

It is an arithmetic number, because the mean of its divisors is an integer number (49622894244).

Almost surely, 2^{61220436426240} is an apocalyptic number.

61220436426240 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 61220436426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142913935422720).

61220436426240 is an abundant number, since it is smaller than the sum of its proper divisors (224607434419200).

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

61220436426240 is a wasteful number, since it uses less digits than its factorization.

61220436426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 61220436426240 its reverse (4262463402216), we get a palindrome (65482899828456).

The spelling of 61220436426240 in words is "sixty-one trillion, two hundred twenty billion, four hundred thirty-six million, four hundred twenty-six thousand, two hundred forty".