1337412168000 has 1344 divisors, whose sum is σ = 5382619257600. Its totient is φ = 323979264000.

The previous prime is 1337412167899. The next prime is 1337412168011. The reversal of 1337412168000 is 8612147331.

It is a happy number.

It is a super-2 number, since 2×1337412168000² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3528791811 + ... + 3528792189.

Almost surely, 2^{1337412168000} is an apocalyptic number.

1337412168000 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 1337412168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691309628800).

1337412168000 is an abundant number, since it is smaller than the sum of its proper divisors (4045207089600).

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

1337412168000 is a wasteful number, since it uses less digits than its factorization.

1337412168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1337412168000 in words is "one trillion, three hundred thirty-seven billion, four hundred twelve million, one hundred sixty-eight thousand".