1096928870400 has 1440 divisors, whose sum is σ = 4493472399360. Its totient is φ = 260112384000.

The previous prime is 1096928870351. The next prime is 1096928870423. The reversal of 1096928870400 is 40788296901.

1096928870400 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 92 + 88 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 8637235137 + ... + 8637235263.

It is an arithmetic number, because the mean of its divisors is an integer number (3120466944).

Almost surely, 2^{1096928870400} is an apocalyptic number.

1096928870400 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 1096928870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246736199680).

1096928870400 is an abundant number, since it is smaller than the sum of its proper divisors (3396543528960).

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

1096928870400 is a wasteful number, since it uses less digits than its factorization.

1096928870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1096928870400 in words is "one trillion, ninety-six billion, nine hundred twenty-eight million, eight hundred seventy thousand, four hundred".