1361464432020 has 1152 divisors, whose sum is σ = 5885553623040. Its totient is φ = 245873295360.

The previous prime is 1361464432007. The next prime is 1361464432033. The reversal of 1361464432020 is 202344641631.

1361464432020 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 4 + 6 + 443 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1361464432007) and next prime (1361464432033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 157154209 + ... + 157162871.

It is an arithmetic number, because the mean of its divisors is an integer number (5108987520).

Almost surely, 2^{1361464432020} is an apocalyptic number.

1361464432020 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 1361464432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942776811520).

1361464432020 is an abundant number, since it is smaller than the sum of its proper divisors (4524089191020).

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

1361464432020 is a wasteful number, since it uses less digits than its factorization.

1361464432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1361464432020 in words is "one trillion, three hundred sixty-one billion, four hundred sixty-four million, four hundred thirty-two thousand, twenty".