153402320402240 has 896 divisors, whose sum is σ = 487529716531200. Its totient is φ = 44613825822720.

The previous prime is 153402320402231. The next prime is 153402320402263. The reversal of 153402320402240 is 42204023204351.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 153402320402197 and 153402320402206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6776008841 + ... + 6776031479.

It is an arithmetic number, because the mean of its divisors is an integer number (544117987200).

Almost surely, 2^{153402320402240} is an apocalyptic number.

153402320402240 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 153402320402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243764858265600).

153402320402240 is an abundant number, since it is smaller than the sum of its proper divisors (334127396128960).

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

153402320402240 is a wasteful number, since it uses less digits than its factorization.

153402320402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23063 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 153402320402240 its reverse (42204023204351), we get a palindrome (195606343606591).

The spelling of 153402320402240 in words is "one hundred fifty-three trillion, four hundred two billion, three hundred twenty million, four hundred two thousand, two hundred forty".