1145897429040 has 1680 divisors, whose sum is σ = 5239448100288. Its totient is φ = 227316989952.

The previous prime is 1145897428993. The next prime is 1145897429041. The reversal of 1145897429040 is 409247985411.

1145897429040 is a `hidden beast` number, since 1 + 14 + 589 + 7 + 4 + 2 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1145897429041) 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 335 ways as a sum of consecutive naturals, for example, 1172873032 + ... + 1172874008.

Almost surely, 2^{1145897429040} is an apocalyptic number.

1145897429040 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 1145897429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619724050144).

1145897429040 is an abundant number, since it is smaller than the sum of its proper divisors (4093550671248).

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

1145897429040 is a wasteful number, since it uses less digits than its factorization.

1145897429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1145897429040 in words is "one trillion, one hundred forty-five billion, eight hundred ninety-seven million, four hundred twenty-nine thousand, forty".