1034006774000 has 80 divisors (see below), whose sum is σ = 2586443296320. Its totient is φ = 399340524800.

The previous prime is 1034006773991. The next prime is 1034006774023. The reversal of 1034006774000 is 4776004301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8855852 + ... + 8971851.

It is an arithmetic number, because the mean of its divisors is an integer number (32330541204).

Almost surely, 2^{1034006774000} is an apocalyptic number.

1034006774000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034006774000 is an abundant number, since it is smaller than the sum of its proper divisors (1552436522320).

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

1034006774000 is a wasteful number, since it uses less digits than its factorization.

1034006774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827755 (or 17827739 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 1034006774000 in words is "one trillion, thirty-four billion, six million, seven hundred seventy-four thousand".