1361264537340 has 144 divisors (see below), whose sum is σ = 4297762778400. Its totient is φ = 348336059904.

The previous prime is 1361264537327. The next prime is 1361264537377. The reversal of 1361264537340 is 437354621631.

1361264537340 is a `hidden beast` number, since 1 + 3 + 6 + 12 + 64 + 537 + 3 + 40 = 666.

It is a super-2 number, since 2×1361264537340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50926 + ... + 1650794.

It is an arithmetic number, because the mean of its divisors is an integer number (29845574850).

Almost surely, 2^{1361264537340} is an apocalyptic number.

1361264537340 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 1361264537340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148881389200).

1361264537340 is an abundant number, since it is smaller than the sum of its proper divisors (2936498241060).

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

1361264537340 is a wasteful number, since it uses less digits than its factorization.

1361264537340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600076 (or 1600071 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1361264537340 in words is "one trillion, three hundred sixty-one billion, two hundred sixty-four million, five hundred thirty-seven thousand, three hundred forty".