1163101541400 has 144 divisors (see below), whose sum is σ = 4111666096200. Its totient is φ = 293836170240.

The previous prime is 1163101541383. The next prime is 1163101541449. The reversal of 1163101541400 is 41451013611.

1163101541400 is a `hidden beast` number, since 1 + 1 + 631 + 0 + 15 + 4 + 14 + 0 + 0 = 666.

It is a super-3 number, since 3×1163101541400³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16970209 + ... + 17038608.

Almost surely, 2^{1163101541400} is an apocalyptic number.

1163101541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163101541400 is an abundant number, since it is smaller than the sum of its proper divisors (2948564554800).

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

1163101541400 is a wasteful number, since it uses less digits than its factorization.

1163101541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008858 (or 34008846 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1163101541400 in words is "one trillion, one hundred sixty-three billion, one hundred one million, five hundred forty-one thousand, four hundred".