1152400034032 has 320 divisors, whose sum is σ = 2682548305920. Its totient is φ = 474466664448.

The previous prime is 1152400033979. The next prime is 1152400034033. The reversal of 1152400034032 is 2304300042511.

It is a junction number, because it is equal to n+sod(n) for n = 1152400033988 and 1152400034006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152400034033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393470003 + ... + 1393470829.

It is an arithmetic number, because the mean of its divisors is an integer number (8382963456).

Almost surely, 2^{1152400034032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152400034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341274152960).

1152400034032 is an abundant number, since it is smaller than the sum of its proper divisors (1530148271888).

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

1152400034032 is a wasteful number, since it uses less digits than its factorization.

1152400034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1152400034032 its reverse (2304300042511), we get a palindrome (3456700076543).

The spelling of 1152400034032 in words is "one trillion, one hundred fifty-two billion, four hundred million, thirty-four thousand, thirty-two".