1012346432460 has 144 divisors (see below), whose sum is σ = 3357122775552. Its totient is φ = 244891574400.

The previous prime is 1012346432453. The next prime is 1012346432507. The reversal of 1012346432460 is 642346432101.

1012346432460 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 4 + 643 + 2 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377245 + ... + 1472075.

It is an arithmetic number, because the mean of its divisors is an integer number (23313352608).

Almost surely, 2^{1012346432460} is an apocalyptic number.

1012346432460 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 1012346432460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678561387776).

1012346432460 is an abundant number, since it is smaller than the sum of its proper divisors (2344776343092).

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

1012346432460 is a wasteful number, since it uses less digits than its factorization.

1012346432460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095324 (or 1095319 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1012346432460 in words is "one trillion, twelve billion, three hundred forty-six million, four hundred thirty-two thousand, four hundred sixty".