61340400000000 has 1188 divisors, whose sum is σ = 241681809852600. Its totient is φ = 14860800000000.

The previous prime is 61340399999987. The next prime is 61340400000023. The reversal of 61340400000000 is 404316.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 39599999226 + ... + 39600000774.

Almost surely, 2^{61340400000000} is an apocalyptic number.

61340400000000 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 61340400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120840904926300).

61340400000000 is an abundant number, since it is smaller than the sum of its proper divisors (180341409852600).

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

61340400000000 is an frugal number, since it uses more digits than its factorization.

61340400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 61340400000000 its reverse (404316), we get a palindrome (61340400404316).

The spelling of 61340400000000 in words is "sixty-one trillion, three hundred forty billion, four hundred million", and thus it is an aban number.