1023280956000 has 144 divisors (see below), whose sum is σ = 3631624240608. Its totient is φ = 272874912000.

The previous prime is 1023280955941. The next prime is 1023280956013. The reversal of 1023280956000 is 6590823201.

1023280956000 is a `hidden beast` number, since 1 + 0 + 23 + 28 + 0 + 9 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14176236 + ... + 14248235.

It is an arithmetic number, because the mean of its divisors is an integer number (25219612782).

Almost surely, 2^{1023280956000} is an apocalyptic number.

1023280956000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023280956000 is an abundant number, since it is smaller than the sum of its proper divisors (2608343284608).

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

1023280956000 is a wasteful number, since it uses less digits than its factorization.

1023280956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28424502 (or 28424481 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1023280956000 in words is "one trillion, twenty-three billion, two hundred eighty million, nine hundred fifty-six thousand".