1102380935040 has 1536 divisors, whose sum is σ = 4956690816000. Its totient is φ = 226636185600.

The previous prime is 1102380934891. The next prime is 1102380935057. The reversal of 1102380935040 is 405390832011.

1102380935040 is a `hidden beast` number, since 1 + 102 + 380 + 93 + 50 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102380934986 and 1102380935004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1595341095 + ... + 1595341785.

It is an arithmetic number, because the mean of its divisors is an integer number (3227012250).

Almost surely, 2^{1102380935040} is an apocalyptic number.

1102380935040 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 1102380935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478345408000).

1102380935040 is an abundant number, since it is smaller than the sum of its proper divisors (3854309880960).

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

1102380935040 is a wasteful number, since it uses less digits than its factorization.

1102380935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 828 counting only the distinct ones).

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

The spelling of 1102380935040 in words is "one trillion, one hundred two billion, three hundred eighty million, nine hundred thirty-five thousand, forty".