340428299904000 has 4224 divisors, whose sum is σ = 1673784860267520. Its totient is φ = 66567536640000.

The previous prime is 340428299903987. The next prime is 340428299904041. The reversal of 340428299904000 is 409992824043.

340428299904000 is a `hidden beast` number, since 3 + 4 + 0 + 428 + 2 + 99 + 90 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49762940580 + ... + 49762947420.

It is an arithmetic number, because the mean of its divisors is an integer number (396255885480).

Almost surely, 2^{340428299904000} is an apocalyptic number.

340428299904000 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 340428299904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836892430133760).

340428299904000 is an abundant number, since it is smaller than the sum of its proper divisors (1333356560363520).

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

340428299904000 is a wasteful number, since it uses less digits than its factorization.

340428299904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 340428299904000 in words is "three hundred forty trillion, four hundred twenty-eight billion, two hundred ninety-nine million, nine hundred four thousand".