340912414440 has 640 divisors, whose sum is σ = 1258007224320. Its totient is φ = 82301184000.

The previous prime is 340912414411. The next prime is 340912414477. The reversal of 340912414440 is 44414219043.

It is a happy number.

340912414440 is a `hidden beast` number, since 3 + 409 + 1 + 241 + 4 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 340912414395 and 340912414404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 540272925 + ... + 540273555.

It is an arithmetic number, because the mean of its divisors is an integer number (1965636288).

Almost surely, 2^340912414440 is an apocalyptic number.

340912414440 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 340912414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629003612160).

340912414440 is an abundant number, since it is smaller than the sum of its proper divisors (917094809880).

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

340912414440 is a wasteful number, since it uses less digits than its factorization.

340912414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 340912414440 in words is "three hundred forty billion, nine hundred twelve million, four hundred fourteen thousand, four hundred forty".