40354744745304 has 64 divisors (see below), whose sum is σ = 122287105296000. Its totient is φ = 12228710528160.

The previous prime is 40354744745269. The next prime is 40354744745311.

It is a happy number.

40354744745304 is a `hidden beast` number, since 4 + 0 + 3 + 54 + 74 + 474 + 53 + 0 + 4 = 666.

40354744745304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8492157714 + ... + 8492162465.

It is an arithmetic number, because the mean of its divisors is an integer number (1910736020250).

Almost surely, 2^{40354744745304} is an apocalyptic number.

40354744745304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40354744745304 is an abundant number, since it is smaller than the sum of its proper divisors (81932360550696).

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

40354744745304 is a wasteful number, since it uses less digits than its factorization.

40354744745304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16984320205 (or 16984320195 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 54.

The spelling of 40354744745304 in words is "forty trillion, three hundred fifty-four billion, seven hundred forty-four million, seven hundred forty-five thousand, three hundred four".