1042926796800 has 960 divisors, whose sum is σ = 4389586608000. Its totient is φ = 237817036800.

The previous prime is 1042926796787. The next prime is 1042926796831. The reversal of 1042926796800 is 86976292401.

It is a tau number, because it is divible by the number of its divisors (960).

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 47 ways as a sum of consecutive naturals, for example, 2477260590 + ... + 2477261010.

It is an arithmetic number, because the mean of its divisors is an integer number (4572486050).

Almost surely, 2^{1042926796800} is an apocalyptic number.

1042926796800 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 1042926796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194793304000).

1042926796800 is an abundant number, since it is smaller than the sum of its proper divisors (3346659811200).

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

1042926796800 is an frugal number, since it uses more digits than its factorization.

1042926796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1042926796800 in words is "one trillion, forty-two billion, nine hundred twenty-six million, seven hundred ninety-six thousand, eight hundred".