1362946242240 has 336 divisors, whose sum is σ = 5118013514016. Its totient is φ = 330161356800.

The previous prime is 1362946242227. The next prime is 1362946242283. The reversal of 1362946242240 is 422426492631.

1362946242240 is a `hidden beast` number, since 1 + 362 + 9 + 4 + 6 + 2 + 42 + 240 = 666.

It is a super-2 number, since 2×1362946242240² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43734504 + ... + 43765656.

Almost surely, 2^{1362946242240} is an apocalyptic number.

1362946242240 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 1362946242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559006757008).

1362946242240 is an abundant number, since it is smaller than the sum of its proper divisors (3755067271776).

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

1362946242240 is a wasteful number, since it uses less digits than its factorization.

1362946242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32568 (or 32555 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1362946242240 in words is "one trillion, three hundred sixty-two billion, nine hundred forty-six million, two hundred forty-two thousand, two hundred forty".