13475613443400 has 384 divisors, whose sum is σ = 46622172240000. Its totient is φ = 3577571712000.

The previous prime is 13475613443353. The next prime is 13475613443401. The reversal of 13475613443400 is 434431657431.

It is a happy number.

13475613443400 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 561 + 3 + 4 + 43 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13475613443401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1151657550 + ... + 1151669250.

It is an arithmetic number, because the mean of its divisors is an integer number (121411906875).

Almost surely, 2^{13475613443400} is an apocalyptic number.

13475613443400 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 13475613443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311086120000).

13475613443400 is an abundant number, since it is smaller than the sum of its proper divisors (33146558796600).

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

13475613443400 is a wasteful number, since it uses less digits than its factorization.

13475613443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 13475613443400 in words is "thirteen trillion, four hundred seventy-five billion, six hundred thirteen million, four hundred forty-three thousand, four hundred".