340233828480 has 1152 divisors, whose sum is σ = 1485066960000. Its totient is φ = 71715151872.

The previous prime is 340233828401. The next prime is 340233828503. The reversal of 340233828480 is 84828332043.

340233828480 is a `hidden beast` number, since 34 + 0 + 2 + 338 + 284 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×340233828480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 333889411 + ... + 333890429.

It is an arithmetic number, because the mean of its divisors is an integer number (1289120625).

Almost surely, 2^340233828480 is an apocalyptic number.

340233828480 is a gapful number since it is divisible by the number (30) 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 340233828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742533480000).

340233828480 is an abundant number, since it is smaller than the sum of its proper divisors (1144833131520).

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

340233828480 is a wasteful number, since it uses less digits than its factorization.

340233828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 340233828480 in words is "three hundred forty billion, two hundred thirty-three million, eight hundred twenty-eight thousand, four hundred eighty".