342509005440 has 1536 divisors, whose sum is σ = 1529079552000. Its totient is φ = 71484456960.

The previous prime is 342509005427. The next prime is 342509005451. The reversal of 342509005440 is 44500905243.

It is a happy number.

342509005440 is a `hidden beast` number, since 3 + 4 + 25 + 0 + 90 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342509005395 and 342509005404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 599840355 + ... + 599840925.

It is an arithmetic number, because the mean of its divisors is an integer number (995494500).

Almost surely, 2^342509005440 is an apocalyptic number.

342509005440 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 342509005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764539776000).

342509005440 is an abundant number, since it is smaller than the sum of its proper divisors (1186570546560).

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

342509005440 is a wasteful number, since it uses less digits than its factorization.

342509005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 342509005440 in words is "three hundred forty-two billion, five hundred nine million, five thousand, four hundred forty".