1345497350400 has 2700 divisors, whose sum is σ = 6184912390272. Its totient is φ = 287911895040.

The previous prime is 1345497350359. The next prime is 1345497350419. The reversal of 1345497350400 is 40537945431.

1345497350400 is a `hidden beast` number, since 1 + 3 + 4 + 54 + 97 + 3 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 28627603177 + ... + 28627603223.

Almost surely, 2^{1345497350400} is an apocalyptic number.

1345497350400 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 1345497350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092456195136).

1345497350400 is an abundant number, since it is smaller than the sum of its proper divisors (4839415039872).

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

1345497350400 is an frugal number, since it uses more digits than its factorization.

1345497350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1345497350400 in words is "one trillion, three hundred forty-five billion, four hundred ninety-seven million, three hundred fifty thousand, four hundred".