1346425432000 has 448 divisors, whose sum is σ = 3904602848640. Its totient is φ = 454459392000.

The previous prime is 1346425431977. The next prime is 1346425432069. The reversal of 1346425432000 is 2345246431.

It is a super-2 number, since 2×1346425432000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109201836 + ... + 109214164.

Almost surely, 2^{1346425432000} is an apocalyptic number.

1346425432000 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 1346425432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952301424320).

1346425432000 is an abundant number, since it is smaller than the sum of its proper divisors (2558177416640).

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

1346425432000 is a wasteful number, since it uses less digits than its factorization.

1346425432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 1346425432000 in words is "one trillion, three hundred forty-six billion, four hundred twenty-five million, four hundred thirty-two thousand".