40346160748704 has 672 divisors, whose sum is σ = 124540771574016. Its totient is φ = 12848054630400.

The previous prime is 40346160748697. The next prime is 40346160748723. The reversal of 40346160748704 is 40784706164304.

40346160748704 is a `hidden beast` number, since 4 + 0 + 346 + 160 + 74 + 8 + 70 + 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 111 ways as a sum of consecutive naturals, for example, 21223650154 + ... + 21223652054.

It is an arithmetic number, because the mean of its divisors is an integer number (185328529128).

Almost surely, 2^{40346160748704} 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 40346160748704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270385787008).

40346160748704 is an abundant number, since it is smaller than the sum of its proper divisors (84194610825312).

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

40346160748704 is a wasteful number, since it uses less digits than its factorization.

40346160748704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 40346160748704 in words is "forty trillion, three hundred forty-six billion, one hundred sixty million, seven hundred forty-eight thousand, seven hundred four".