1156460038080 has 448 divisors, whose sum is σ = 3804918374400. Its totient is φ = 297463726080.

The previous prime is 1156460038079. The next prime is 1156460038081. The reversal of 1156460038080 is 808300646511.

It is an interprime number because it is at equal distance from previous prime (1156460038079) and next prime (1156460038081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156460038081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657452241 + ... + 657453999.

Almost surely, 2^{1156460038080} is an apocalyptic number.

1156460038080 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 1156460038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902459187200).

1156460038080 is an abundant number, since it is smaller than the sum of its proper divisors (2648458336320).

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

1156460038080 is a wasteful number, since it uses less digits than its factorization.

1156460038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1156460038080 in words is "one trillion, one hundred fifty-six billion, four hundred sixty million, thirty-eight thousand, eighty".