1081504742400 has 1188 divisors, whose sum is σ = 4136557752288. Its totient is φ = 280204738560.

The previous prime is 1081504742387. The next prime is 1081504742533. The reversal of 1081504742400 is 42474051801.

It is a happy number.

1081504742400 is a `hidden beast` number, since 1 + 0 + 81 + 504 + 74 + 2 + 4 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 7894195132 + ... + 7894195268.

Almost surely, 2^{1081504742400} is an apocalyptic number.

1081504742400 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 1081504742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068278876144).

1081504742400 is an abundant number, since it is smaller than the sum of its proper divisors (3055053009888).

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

1081504742400 is an frugal number, since it uses more digits than its factorization.

1081504742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 1081504742400 in words is "one trillion, eighty-one billion, five hundred four million, seven hundred forty-two thousand, four hundred".