8146373942400 has 768 divisors, whose sum is σ = 29331309997440. Its totient is φ = 1979166228480.

The previous prime is 8146373942363. The next prime is 8146373942423. The reversal of 8146373942400 is 42493736418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792983664 + ... + 792993936.

Almost surely, 2^{8146373942400} is an apocalyptic number.

8146373942400 is a gapful number since it is divisible by the number (80) 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 8146373942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665654998720).

8146373942400 is an abundant number, since it is smaller than the sum of its proper divisors (21184936055040).

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

8146373942400 is a wasteful number, since it uses less digits than its factorization.

8146373942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 8146373942400 in words is "eight trillion, one hundred forty-six billion, three hundred seventy-three million, nine hundred forty-two thousand, four hundred".