61142113613420 has 96 divisors (see below), whose sum is σ = 147902751080448. Its totient is φ = 20797070257152.

The previous prime is 61142113613417. The next prime is 61142113613461. The reversal of 61142113613420 is 2431631124116.

It is a super-3 number, since 3×61142113613420³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530906564 + ... + 531021716.

It is an arithmetic number, because the mean of its divisors is an integer number (1540653657088).

Almost surely, 2^{61142113613420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61142113613420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73951375540224).

61142113613420 is an abundant number, since it is smaller than the sum of its proper divisors (86760637467028).

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

61142113613420 is a wasteful number, since it uses less digits than its factorization.

61142113613420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145159 (or 145157 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 61142113613420 its reverse (2431631124116), we get a palindrome (63573744737536).

The spelling of 61142113613420 in words is "sixty-one trillion, one hundred forty-two billion, one hundred thirteen million, six hundred thirteen thousand, four hundred twenty".