1160476412040 has 192 divisors, whose sum is σ = 4115018194560. Its totient is φ = 281286466560.

The previous prime is 1160476411973. The next prime is 1160476412057. The reversal of 1160476412040 is 402146740611.

It is a happy number.

1160476412040 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 4 + 7 + 641 + 2 + 0 + 4 + 0 = 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 = 1160476411986 and 1160476412004.

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, 33789357 + ... + 33823683.

It is an arithmetic number, because the mean of its divisors is an integer number (21432386430).

Almost surely, 2^{1160476412040} is an apocalyptic number.

1160476412040 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 1160476412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057509097280).

1160476412040 is an abundant number, since it is smaller than the sum of its proper divisors (2954541782520).

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

1160476412040 is a wasteful number, since it uses less digits than its factorization.

1160476412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42892 (or 42885 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 1160476 and 412040, that added together give a square (1572516 = 1254²).

The spelling of 1160476412040 in words is "one trillion, one hundred sixty billion, four hundred seventy-six million, four hundred twelve thousand, forty".