1012634360640 has 1344 divisors, whose sum is σ = 4292335514880. Its totient is φ = 223944376320.

The previous prime is 1012634360579. The next prime is 1012634360651. The reversal of 1012634360640 is 460634362101.

1012634360640 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 3 + 4 + 3 + 6 + 0 + 640 = 666.

1012634360640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 1012634360595 and 1012634360604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3940211392 + ... + 3940211648.

It is an arithmetic number, because the mean of its divisors is an integer number (3193702020).

Almost surely, 2^{1012634360640} is an apocalyptic number.

1012634360640 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 1012634360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146167757440).

1012634360640 is an abundant number, since it is smaller than the sum of its proper divisors (3279701154240).

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

1012634360640 is a wasteful number, since it uses less digits than its factorization.

1012634360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1012634360640 in words is "one trillion, twelve billion, six hundred thirty-four million, three hundred sixty thousand, six hundred forty".