1361464510000 has 600 divisors, whose sum is σ = 4044428568576. Its totient is φ = 441887040000.

The previous prime is 1361464509989. The next prime is 1361464510057. The reversal of 1361464510000 is 154641631.

It is a super-2 number, since 2×1361464510000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 713929047 + ... + 713930953.

Almost surely, 2^{1361464510000} is an apocalyptic number.

1361464510000 is a gapful number since it is divisible by the number (10) 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 1361464510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022214284288).

1361464510000 is an abundant number, since it is smaller than the sum of its proper divisors (2682964058576).

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

1361464510000 is a wasteful number, since it uses less digits than its factorization.

1361464510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 1361464510000 in words is "one trillion, three hundred sixty-one billion, four hundred sixty-four million, five hundred ten thousand".