1154198785740 has 1728 divisors, whose sum is σ = 4818089630592. Its totient is φ = 203692769280.

The previous prime is 1154198785739. The next prime is 1154198785771. The reversal of 1154198785740 is 475878914511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4166782482 + ... + 4166782758.

It is an arithmetic number, because the mean of its divisors is an integer number (2788246314).

Almost surely, 2^{1154198785740} is an apocalyptic number.

1154198785740 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 1154198785740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409044815296).

1154198785740 is an abundant number, since it is smaller than the sum of its proper divisors (3663890844852).

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

1154198785740 is a wasteful number, since it uses less digits than its factorization.

1154198785740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 60.

The spelling of 1154198785740 in words is "one trillion, one hundred fifty-four billion, one hundred ninety-eight million, seven hundred eighty-five thousand, seven hundred forty".