1141698635840 has 336 divisors, whose sum is σ = 3217234561200. Its totient is φ = 384722731008.

The previous prime is 1141698635821. The next prime is 1141698635873. The reversal of 1141698635840 is 485368961411.

It can be written as a sum of positive squares in 8 ways, for example, as 111246263296 + 1030452372544 = 333536^2 + 1015112^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 241422596 + ... + 241427324.

Almost surely, 2^{1141698635840} is an apocalyptic number.

1141698635840 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 1141698635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608617280600).

1141698635840 is an abundant number, since it is smaller than the sum of its proper divisors (2075535925360).

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

1141698635840 is a wasteful number, since it uses less digits than its factorization.

1141698635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The spelling of 1141698635840 in words is "one trillion, one hundred forty-one billion, six hundred ninety-eight million, six hundred thirty-five thousand, eight hundred forty".