1346526263040 has 288 divisors, whose sum is σ = 4920830906880. Its totient is φ = 307401080832.

The previous prime is 1346526263003. The next prime is 1346526263119. The reversal of 1346526263040 is 403626256431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1346526262983 and 1346526263001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22253307 + ... + 22313733.

Almost surely, 2^{1346526263040} is an apocalyptic number.

1346526263040 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 1346526263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460415453440).

1346526263040 is an abundant number, since it is smaller than the sum of its proper divisors (3574304643840).

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

1346526263040 is an equidigital number, since it uses as much as digits as its factorization.

1346526263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61287 (or 61273 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 1346526263040 in words is "one trillion, three hundred forty-six billion, five hundred twenty-six million, two hundred sixty-three thousand, forty".