340416649440 has 864 divisors, whose sum is σ = 1468520202240. Its totient is φ = 71327692800.

The previous prime is 340416649439. The next prime is 340416649457. The reversal of 340416649440 is 44946614043.

340416649440 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 166 + 49 + 440 = 666.

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

It is a congruent number.

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, 41555745 + ... + 41563935.

It is an arithmetic number, because the mean of its divisors is an integer number (1699676160).

Almost surely, 2^340416649440 is an apocalyptic number.

340416649440 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 340416649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734260101120).

340416649440 is an abundant number, since it is smaller than the sum of its proper divisors (1128103552800).

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

340416649440 is a wasteful number, since it uses less digits than its factorization.

340416649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 340416649440 in words is "three hundred forty billion, four hundred sixteen million, six hundred forty-nine thousand, four hundred forty".