233454011355040 has 384 divisors, whose sum is σ = 652180851818496. Its totient is φ = 77278385664000.

The previous prime is 233454011355031. The next prime is 233454011355049. The reversal of 233454011355040 is 40553110454332.

It is an interprime number because it is at equal distance from previous prime (233454011355031) and next prime (233454011355049).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233454011354984 and 233454011355002.

It is not an unprimeable number, because it can be changed into a prime (233454011355049) 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, 60684690397 + ... + 60684694243.

It is an arithmetic number, because the mean of its divisors is an integer number (1698387634944).

Almost surely, 2^{233454011355040} is an apocalyptic number.

233454011355040 is a gapful number since it is divisible by the number (20) 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 233454011355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326090425909248).

233454011355040 is an abundant number, since it is smaller than the sum of its proper divisors (418726840463456).

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

233454011355040 is a wasteful number, since it uses less digits than its factorization.

233454011355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 233454011355040 in words is "two hundred thirty-three trillion, four hundred fifty-four billion, eleven million, three hundred fifty-five thousand, forty".