40346949170304 has 640 divisors, whose sum is σ = 138442595512320. Its totient is φ = 11425599037440.

The previous prime is 40346949170299. The next prime is 40346949170369. The reversal of 40346949170304 is 40307194964304.

40346949170304 is a `hidden beast` number, since 4 + 0 + 3 + 469 + 4 + 9 + 170 + 3 + 0 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 14719790374 + ... + 14719793114.

It is an arithmetic number, because the mean of its divisors is an integer number (216316555488).

Almost surely, 2^{40346949170304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40346949170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69221297756160).

40346949170304 is an abundant number, since it is smaller than the sum of its proper divisors (98095646342016).

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

40346949170304 is a wasteful number, since it uses less digits than its factorization.

40346949170304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 40346949170304 in words is "forty trillion, three hundred forty-six billion, nine hundred forty-nine million, one hundred seventy thousand, three hundred four".