340407404789760 has 1360 divisors, whose sum is σ = 1521564592977792. Its totient is φ = 70733581516800.

The previous prime is 340407404789719. The next prime is 340407404789807. The reversal of 340407404789760 is 67987404704043.

340407404789760 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 74 + 0 + 478 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2043656880 + ... + 2043823440.

Almost surely, 2^{340407404789760} is an apocalyptic number.

340407404789760 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 340407404789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760782296488896).

340407404789760 is an abundant number, since it is smaller than the sum of its proper divisors (1181157188188032).

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

340407404789760 is an equidigital number, since it uses as much as digits as its factorization.

340407404789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166628 (or 166589 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 340407404789760 in words is "three hundred forty trillion, four hundred seven billion, four hundred four million, seven hundred eighty-nine thousand, seven hundred sixty".