153402306636040 has 512 divisors, whose sum is σ = 437643730944000. Its totient is φ = 47006584335360.

The previous prime is 153402306635971. The next prime is 153402306636101. The reversal of 153402306636040 is 40636603204351.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53135539477 + ... + 53135542363.

It is an arithmetic number, because the mean of its divisors is an integer number (854772912000).

Almost surely, 2^{153402306636040} is an apocalyptic number.

153402306636040 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 153402306636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218821865472000).

153402306636040 is an abundant number, since it is smaller than the sum of its proper divisors (284241424307960).

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

153402306636040 is a wasteful number, since it uses less digits than its factorization.

153402306636040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 153402306636040 in words is "one hundred fifty-three trillion, four hundred two billion, three hundred six million, six hundred thirty-six thousand, forty".