153043007040 has 840 divisors, whose sum is σ = 683973614016. Its totient is φ = 31796582400.

The previous prime is 153043006981. The next prime is 153043007041. The reversal of 153043007040 is 40700340351.

153043007040 is a `hidden beast` number, since 15 + 304 + 300 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×153043007040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153043006995 and 153043007013.

It is not an unprimeable number, because it can be changed into a prime (153043007041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21950755 + ... + 21957725.

Almost surely, 2^153043007040 is an apocalyptic number.

153043007040 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 153043007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341986807008).

153043007040 is an abundant number, since it is smaller than the sum of its proper divisors (530930606976).

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

153043007040 is a wasteful number, since it uses less digits than its factorization.

153043007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 153043007040 its reverse (40700340351), we get a palindrome (193743347391).

The spelling of 153043007040 in words is "one hundred fifty-three billion, forty-three million, seven thousand, forty".