10345367463840 has 192 divisors, whose sum is σ = 36411072566400. Its totient is φ = 2743352358912.

The previous prime is 10345367463833. The next prime is 10345367463853. The reversal of 10345367463840 is 4836476354301.

10345367463840 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 536 + 7 + 4 + 63 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5915997 + ... + 7462556.

It is an arithmetic number, because the mean of its divisors is an integer number (189641002950).

Almost surely, 2^{10345367463840} is an apocalyptic number.

10345367463840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345367463840 is an abundant number, since it is smaller than the sum of its proper divisors (26065705102560).

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

10345367463840 is a wasteful number, since it uses less digits than its factorization.

10345367463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378756 (or 13378742 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 10345367463840 in words is "ten trillion, three hundred forty-five billion, three hundred sixty-seven million, four hundred sixty-three thousand, eight hundred forty".