61142753102640 has 320 divisors, whose sum is σ = 221026375406592. Its totient is φ = 13832223539200.

The previous prime is 61142753102581. The next prime is 61142753102687. The reversal of 61142753102640 is 4620135724116.

It is a junction number, because it is equal to n+sod(n) for n = 61142753102592 and 61142753102601.

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, 9790509 + ... + 14769548.

Almost surely, 2^{61142753102640} is an apocalyptic number.

61142753102640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61142753102640 is an abundant number, since it is smaller than the sum of its proper divisors (159883622303952).

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

61142753102640 is a wasteful number, since it uses less digits than its factorization.

61142753102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24560148 (or 24560142 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 61142753102640 its reverse (4620135724116), we get a palindrome (65762888826756).

The spelling of 61142753102640 in words is "sixty-one trillion, one hundred forty-two billion, seven hundred fifty-three million, one hundred two thousand, six hundred forty".