1341357004800 has 432 divisors, whose sum is σ = 4958881986240. Its totient is φ = 346152960000.

The previous prime is 1341357004747. The next prime is 1341357004817. The reversal of 1341357004800 is 84007531431.

It is a happy number.

1341357004800 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 570 + 0 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×1341357004800² (a number of 25 digits) contains 22 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14237850 + ... + 14331750.

Almost surely, 2^{1341357004800} is an apocalyptic number.

1341357004800 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 1341357004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479440993120).

1341357004800 is an abundant number, since it is smaller than the sum of its proper divisors (3617524981440).

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

1341357004800 is a wasteful number, since it uses less digits than its factorization.

1341357004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93970 (or 93942 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1341357004800 in words is "one trillion, three hundred forty-one billion, three hundred fifty-seven million, four thousand, eight hundred".