1352464740000 has 720 divisors, whose sum is σ = 5295658271904. Its totient is φ = 324576000000.

The previous prime is 1352464739939. The next prime is 1352464740007. The reversal of 1352464740000 is 474642531.

1352464740000 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 647 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1352464740000³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1352464740007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199976619 + ... + 199983381.

Almost surely, 2^{1352464740000} is an apocalyptic number.

1352464740000 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 1352464740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647829135952).

1352464740000 is an abundant number, since it is smaller than the sum of its proper divisors (3943193531904).

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

1352464740000 is a wasteful number, since it uses less digits than its factorization.

1352464740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1352464740000 in words is "one trillion, three hundred fifty-two billion, four hundred sixty-four million, seven hundred forty thousand".